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Finding the Fourth Proportional to 25,339, 38,013.56 and 7,808.08

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Solution

The fourth proportional to 25,339, 38,013.56 and 7,808.08 is: 11,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339 : 38,013.56 = 7,808.08 : x
  2. Step 2: Convert to fraction form
    25,339/38,013.56 = 7,808.08/x
  3. Step 3: Cross multiply
    25,339x = 38,013.56 × 7,808.08
  4. Step 4: Simplify right side
    25,339x = 296,812,917.56
  5. Step 5: Solve for x
    x = 296,812,917.56/25,339
  6. Step 6: Final answer
    x = 11,713.68

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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.