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Finding the Fourth Proportional to 15,135.69, 22,702.62 and 5,646.18

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Solution

The fourth proportional to 15,135.69, 22,702.62 and 5,646.18 is: 8,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.69 : 22,702.62 = 5,646.18 : x
  2. Step 2: Convert to fraction form
    15,135.69/22,702.62 = 5,646.18/x
  3. Step 3: Cross multiply
    15,135.69x = 22,702.62 × 5,646.18
  4. Step 4: Simplify right side
    15,135.69x = 128,183,153.54
  5. Step 5: Solve for x
    x = 128,183,153.54/15,135.69
  6. Step 6: Final answer
    x = 8,468.93

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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.