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Finding the Fourth Proportional to 17,459.85, 24,095.10 and 9,502.59

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Solution

The fourth proportional to 17,459.85, 24,095.10 and 9,502.59 is: 13,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.85 : 24,095.10 = 9,502.59 : x
  2. Step 2: Convert to fraction form
    17,459.85/24,095.10 = 9,502.59/x
  3. Step 3: Cross multiply
    17,459.85x = 24,095.10 × 9,502.59
  4. Step 4: Simplify right side
    17,459.85x = 228,965,856.31
  5. Step 5: Solve for x
    x = 228,965,856.31/17,459.85
  6. Step 6: Final answer
    x = 13,113.85

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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.