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Finding the Fourth Proportional to 16,588.77, 22,892.07 and 9,034.95

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Solution

The fourth proportional to 16,588.77, 22,892.07 and 9,034.95 is: 12,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.77 : 22,892.07 = 9,034.95 : x
  2. Step 2: Convert to fraction form
    16,588.77/22,892.07 = 9,034.95/x
  3. Step 3: Cross multiply
    16,588.77x = 22,892.07 × 9,034.95
  4. Step 4: Simplify right side
    16,588.77x = 206,828,707.85
  5. Step 5: Solve for x
    x = 206,828,707.85/16,588.77
  6. Step 6: Final answer
    x = 12,468.00

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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.