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Finding the Fourth Proportional to 25,622.31, 38,432.08 and 7,853.03

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Solution

The fourth proportional to 25,622.31, 38,432.08 and 7,853.03 is: 11,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.31 : 38,432.08 = 7,853.03 : x
  2. Step 2: Convert to fraction form
    25,622.31/38,432.08 = 7,853.03/x
  3. Step 3: Cross multiply
    25,622.31x = 38,432.08 × 7,853.03
  4. Step 4: Simplify right side
    25,622.31x = 301,808,277.20
  5. Step 5: Solve for x
    x = 301,808,277.20/25,622.31
  6. Step 6: Final answer
    x = 11,779.12

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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.