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Finding the Fourth Proportional to 15,040.80, 22,564.80 and 7,646.40

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Solution

The fourth proportional to 15,040.80, 22,564.80 and 7,646.40 is: 11,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040.80 : 22,564.80 = 7,646.40 : x
  2. Step 2: Convert to fraction form
    15,040.80/22,564.80 = 7,646.40/x
  3. Step 3: Cross multiply
    15,040.80x = 22,564.80 × 7,646.40
  4. Step 4: Simplify right side
    15,040.80x = 172,539,486.72
  5. Step 5: Solve for x
    x = 172,539,486.72/15,040.80
  6. Step 6: Final answer
    x = 11,471.43

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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.