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Finding the Fourth Proportional to 16,159.19, 22,301.76 and 9,086.99

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Solution

The fourth proportional to 16,159.19, 22,301.76 and 9,086.99 is: 12,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.19 : 22,301.76 = 9,086.99 : x
  2. Step 2: Convert to fraction form
    16,159.19/22,301.76 = 9,086.99/x
  3. Step 3: Cross multiply
    16,159.19x = 22,301.76 × 9,086.99
  4. Step 4: Simplify right side
    16,159.19x = 202,655,758.59
  5. Step 5: Solve for x
    x = 202,655,758.59/16,159.19
  6. Step 6: Final answer
    x = 12,541.21

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