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Finding the Fourth Proportional to 17,564.48, 24,252 and 11,280.32

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Solution

The fourth proportional to 17,564.48, 24,252 and 11,280.32 is: 15,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.48 : 24,252 = 11,280.32 : x
  2. Step 2: Convert to fraction form
    17,564.48/24,252 = 11,280.32/x
  3. Step 3: Cross multiply
    17,564.48x = 24,252 × 11,280.32
  4. Step 4: Simplify right side
    17,564.48x = 273,570,320.64
  5. Step 5: Solve for x
    x = 273,570,320.64/17,564.48
  6. Step 6: Final answer
    x = 15,575.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.