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Finding the Fourth Proportional to 17,534.46, 24,193.59 and 10,459.50

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Solution

The fourth proportional to 17,534.46, 24,193.59 and 10,459.50 is: 14,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.46 : 24,193.59 = 10,459.50 : x
  2. Step 2: Convert to fraction form
    17,534.46/24,193.59 = 10,459.50/x
  3. Step 3: Cross multiply
    17,534.46x = 24,193.59 × 10,459.50
  4. Step 4: Simplify right side
    17,534.46x = 253,052,854.61
  5. Step 5: Solve for x
    x = 253,052,854.61/17,534.46
  6. Step 6: Final answer
    x = 14,431.74

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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.