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Finding the Fourth Proportional to 25,585.35, 38,307.17 and 13,078.44

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Solution

The fourth proportional to 25,585.35, 38,307.17 and 13,078.44 is: 19,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.35 : 38,307.17 = 13,078.44 : x
  2. Step 2: Convert to fraction form
    25,585.35/38,307.17 = 13,078.44/x
  3. Step 3: Cross multiply
    25,585.35x = 38,307.17 × 13,078.44
  4. Step 4: Simplify right side
    25,585.35x = 500,998,024.41
  5. Step 5: Solve for x
    x = 500,998,024.41/25,585.35
  6. Step 6: Final answer
    x = 19,581.44

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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.