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Finding the Fourth Proportional to 24,552, 36,784.32 and 14,142.24

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Solution

The fourth proportional to 24,552, 36,784.32 and 14,142.24 is: 21,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,552 : 36,784.32 = 14,142.24 : x
  2. Step 2: Convert to fraction form
    24,552/36,784.32 = 14,142.24/x
  3. Step 3: Cross multiply
    24,552x = 36,784.32 × 14,142.24
  4. Step 4: Simplify right side
    24,552x = 520,212,681.68
  5. Step 5: Solve for x
    x = 520,212,681.68/24,552
  6. Step 6: Final answer
    x = 21,188.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.