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Finding the Fourth Proportional to 25,138.96, 37,698.12 and 9,345.04

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Solution

The fourth proportional to 25,138.96, 37,698.12 and 9,345.04 is: 14,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.96 : 37,698.12 = 9,345.04 : x
  2. Step 2: Convert to fraction form
    25,138.96/37,698.12 = 9,345.04/x
  3. Step 3: Cross multiply
    25,138.96x = 37,698.12 × 9,345.04
  4. Step 4: Simplify right side
    25,138.96x = 352,290,439.32
  5. Step 5: Solve for x
    x = 352,290,439.32/25,138.96
  6. Step 6: Final answer
    x = 14,013.72

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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.