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Finding the Fourth Proportional to 23,284.80, 34,925.04 and 7,702.56

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Solution

The fourth proportional to 23,284.80, 34,925.04 and 7,702.56 is: 11,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.80 : 34,925.04 = 7,702.56 : x
  2. Step 2: Convert to fraction form
    23,284.80/34,925.04 = 7,702.56/x
  3. Step 3: Cross multiply
    23,284.80x = 34,925.04 × 7,702.56
  4. Step 4: Simplify right side
    23,284.80x = 269,012,216.10
  5. Step 5: Solve for x
    x = 269,012,216.10/23,284.80
  6. Step 6: Final answer
    x = 11,553.13

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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.