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Finding the Fourth Proportional to 22,969.34, 31,700.63 and 14,014.95

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Solution

The fourth proportional to 22,969.34, 31,700.63 and 14,014.95 is: 19,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.34 : 31,700.63 = 14,014.95 : x
  2. Step 2: Convert to fraction form
    22,969.34/31,700.63 = 14,014.95/x
  3. Step 3: Cross multiply
    22,969.34x = 31,700.63 × 14,014.95
  4. Step 4: Simplify right side
    22,969.34x = 444,282,608.02
  5. Step 5: Solve for x
    x = 444,282,608.02/22,969.34
  6. Step 6: Final answer
    x = 19,342.42

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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.