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Finding the Fourth Proportional to 24,702.14, 37,055.64 and 9,116.12

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Solution

The fourth proportional to 24,702.14, 37,055.64 and 9,116.12 is: 13,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.14 : 37,055.64 = 9,116.12 : x
  2. Step 2: Convert to fraction form
    24,702.14/37,055.64 = 9,116.12/x
  3. Step 3: Cross multiply
    24,702.14x = 37,055.64 × 9,116.12
  4. Step 4: Simplify right side
    24,702.14x = 337,803,660.92
  5. Step 5: Solve for x
    x = 337,803,660.92/24,702.14
  6. Step 6: Final answer
    x = 13,675.08

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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.