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Finding the Fourth Proportional to 17,882.52, 24,675.35 and 10,710.75

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Solution

The fourth proportional to 17,882.52, 24,675.35 and 10,710.75 is: 14,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.52 : 24,675.35 = 10,710.75 : x
  2. Step 2: Convert to fraction form
    17,882.52/24,675.35 = 10,710.75/x
  3. Step 3: Cross multiply
    17,882.52x = 24,675.35 × 10,710.75
  4. Step 4: Simplify right side
    17,882.52x = 264,291,505.01
  5. Step 5: Solve for x
    x = 264,291,505.01/17,882.52
  6. Step 6: Final answer
    x = 14,779.32

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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.