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Finding the Fourth Proportional to 12,641.50, 17,445.28 and 7,052.50

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Solution

The fourth proportional to 12,641.50, 17,445.28 and 7,052.50 is: 9,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.50 : 17,445.28 = 7,052.50 : x
  2. Step 2: Convert to fraction form
    12,641.50/17,445.28 = 7,052.50/x
  3. Step 3: Cross multiply
    12,641.50x = 17,445.28 × 7,052.50
  4. Step 4: Simplify right side
    12,641.50x = 123,032,837.20
  5. Step 5: Solve for x
    x = 123,032,837.20/12,641.50
  6. Step 6: Final answer
    x = 9,732.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.