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Finding the Fourth Proportional to 15,146.61, 22,702.14 and 6,816.89

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Solution

The fourth proportional to 15,146.61, 22,702.14 and 6,816.89 is: 10,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.61 : 22,702.14 = 6,816.89 : x
  2. Step 2: Convert to fraction form
    15,146.61/22,702.14 = 6,816.89/x
  3. Step 3: Cross multiply
    15,146.61x = 22,702.14 × 6,816.89
  4. Step 4: Simplify right side
    15,146.61x = 154,757,877.63
  5. Step 5: Solve for x
    x = 154,757,877.63/15,146.61
  6. Step 6: Final answer
    x = 10,217.33

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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.