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Finding the Fourth Proportional to 15,802.97, 23,702.86 and 4,116.18

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Solution

The fourth proportional to 15,802.97, 23,702.86 and 4,116.18 is: 6,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.97 : 23,702.86 = 4,116.18 : x
  2. Step 2: Convert to fraction form
    15,802.97/23,702.86 = 4,116.18/x
  3. Step 3: Cross multiply
    15,802.97x = 23,702.86 × 4,116.18
  4. Step 4: Simplify right side
    15,802.97x = 97,565,332.31
  5. Step 5: Solve for x
    x = 97,565,332.31/15,802.97
  6. Step 6: Final answer
    x = 6,173.86

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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.