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Finding the Fourth Proportional to 17,088.13, 23,581.54 and 9,534

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Solution

The fourth proportional to 17,088.13, 23,581.54 and 9,534 is: 13,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088.13 : 23,581.54 = 9,534 : x
  2. Step 2: Convert to fraction form
    17,088.13/23,581.54 = 9,534/x
  3. Step 3: Cross multiply
    17,088.13x = 23,581.54 × 9,534
  4. Step 4: Simplify right side
    17,088.13x = 224,826,402.36
  5. Step 5: Solve for x
    x = 224,826,402.36/17,088.13
  6. Step 6: Final answer
    x = 13,156.88

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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.