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Finding the Fourth Proportional to 15,702.87, 23,548.35 and 6,340.47

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Solution

The fourth proportional to 15,702.87, 23,548.35 and 6,340.47 is: 9,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.87 : 23,548.35 = 6,340.47 : x
  2. Step 2: Convert to fraction form
    15,702.87/23,548.35 = 6,340.47/x
  3. Step 3: Cross multiply
    15,702.87x = 23,548.35 × 6,340.47
  4. Step 4: Simplify right side
    15,702.87x = 149,307,606.72
  5. Step 5: Solve for x
    x = 149,307,606.72/15,702.87
  6. Step 6: Final answer
    x = 9,508.30

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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.