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Finding the Fourth Proportional to 24,534.40, 36,801.60 and 14,166.40

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Solution

The fourth proportional to 24,534.40, 36,801.60 and 14,166.40 is: 21,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.40 : 36,801.60 = 14,166.40 : x
  2. Step 2: Convert to fraction form
    24,534.40/36,801.60 = 14,166.40/x
  3. Step 3: Cross multiply
    24,534.40x = 36,801.60 × 14,166.40
  4. Step 4: Simplify right side
    24,534.40x = 521,346,186.24
  5. Step 5: Solve for x
    x = 521,346,186.24/24,534.40
  6. Step 6: Final answer
    x = 21,249.60

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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.