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Finding the Fourth Proportional to 15,641.32, 23,467.76 and 7,324.04

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Solution

The fourth proportional to 15,641.32, 23,467.76 and 7,324.04 is: 10,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.32 : 23,467.76 = 7,324.04 : x
  2. Step 2: Convert to fraction form
    15,641.32/23,467.76 = 7,324.04/x
  3. Step 3: Cross multiply
    15,641.32x = 23,467.76 × 7,324.04
  4. Step 4: Simplify right side
    15,641.32x = 171,878,812.95
  5. Step 5: Solve for x
    x = 171,878,812.95/15,641.32
  6. Step 6: Final answer
    x = 10,988.77

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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.