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Finding the Fourth Proportional to 25,475.88, 38,214.10 and 7,706.72

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Solution

The fourth proportional to 25,475.88, 38,214.10 and 7,706.72 is: 11,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.88 : 38,214.10 = 7,706.72 : x
  2. Step 2: Convert to fraction form
    25,475.88/38,214.10 = 7,706.72/x
  3. Step 3: Cross multiply
    25,475.88x = 38,214.10 × 7,706.72
  4. Step 4: Simplify right side
    25,475.88x = 294,505,368.75
  5. Step 5: Solve for x
    x = 294,505,368.75/25,475.88
  6. Step 6: Final answer
    x = 11,560.16

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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.