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Finding the Fourth Proportional to 25,006.32, 37,505.70 and 7,477.65

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Solution

The fourth proportional to 25,006.32, 37,505.70 and 7,477.65 is: 11,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006.32 : 37,505.70 = 7,477.65 : x
  2. Step 2: Convert to fraction form
    25,006.32/37,505.70 = 7,477.65/x
  3. Step 3: Cross multiply
    25,006.32x = 37,505.70 × 7,477.65
  4. Step 4: Simplify right side
    25,006.32x = 280,454,497.61
  5. Step 5: Solve for x
    x = 280,454,497.61/25,006.32
  6. Step 6: Final answer
    x = 11,215.34

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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.