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Finding the Fourth Proportional to 17,497.06, 24,146.70 and 9,539.74

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Solution

The fourth proportional to 17,497.06, 24,146.70 and 9,539.74 is: 13,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.06 : 24,146.70 = 9,539.74 : x
  2. Step 2: Convert to fraction form
    17,497.06/24,146.70 = 9,539.74/x
  3. Step 3: Cross multiply
    17,497.06x = 24,146.70 × 9,539.74
  4. Step 4: Simplify right side
    17,497.06x = 230,353,239.86
  5. Step 5: Solve for x
    x = 230,353,239.86/17,497.06
  6. Step 6: Final answer
    x = 13,165.25

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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.