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Finding the Fourth Proportional to 29,710.95, 41,002.23 and 16,966.20

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Solution

The fourth proportional to 29,710.95, 41,002.23 and 16,966.20 is: 23,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.95 : 41,002.23 = 16,966.20 : x
  2. Step 2: Convert to fraction form
    29,710.95/41,002.23 = 16,966.20/x
  3. Step 3: Cross multiply
    29,710.95x = 41,002.23 × 16,966.20
  4. Step 4: Simplify right side
    29,710.95x = 695,652,034.63
  5. Step 5: Solve for x
    x = 695,652,034.63/29,710.95
  6. Step 6: Final answer
    x = 23,413.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.