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Finding the Fourth Proportional to 15,694.17, 23,541.19 and 9,854.88

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Solution

The fourth proportional to 15,694.17, 23,541.19 and 9,854.88 is: 14,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.17 : 23,541.19 = 9,854.88 : x
  2. Step 2: Convert to fraction form
    15,694.17/23,541.19 = 9,854.88/x
  3. Step 3: Cross multiply
    15,694.17x = 23,541.19 × 9,854.88
  4. Step 4: Simplify right side
    15,694.17x = 231,995,602.51
  5. Step 5: Solve for x
    x = 231,995,602.51/15,694.17
  6. Step 6: Final answer
    x = 14,782.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.