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Finding the Fourth Proportional to 17,617.02, 24,319.24 and 12,332.58

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Solution

The fourth proportional to 17,617.02, 24,319.24 and 12,332.58 is: 17,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.02 : 24,319.24 = 12,332.58 : x
  2. Step 2: Convert to fraction form
    17,617.02/24,319.24 = 12,332.58/x
  3. Step 3: Cross multiply
    17,617.02x = 24,319.24 × 12,332.58
  4. Step 4: Simplify right side
    17,617.02x = 299,918,972.84
  5. Step 5: Solve for x
    x = 299,918,972.84/17,617.02
  6. Step 6: Final answer
    x = 17,024.39

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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.