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Finding the Fourth Proportional to 17,407.40, 24,025.28 and 9,854.16

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Solution

The fourth proportional to 17,407.40, 24,025.28 and 9,854.16 is: 13,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.40 : 24,025.28 = 9,854.16 : x
  2. Step 2: Convert to fraction form
    17,407.40/24,025.28 = 9,854.16/x
  3. Step 3: Cross multiply
    17,407.40x = 24,025.28 × 9,854.16
  4. Step 4: Simplify right side
    17,407.40x = 236,748,953.16
  5. Step 5: Solve for x
    x = 236,748,953.16/17,407.40
  6. Step 6: Final answer
    x = 13,600.48

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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.