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Finding the Fourth Proportional to 12,417.39, 17,139.63 and 7,385.16

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Solution

The fourth proportional to 12,417.39, 17,139.63 and 7,385.16 is: 10,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.39 : 17,139.63 = 7,385.16 : x
  2. Step 2: Convert to fraction form
    12,417.39/17,139.63 = 7,385.16/x
  3. Step 3: Cross multiply
    12,417.39x = 17,139.63 × 7,385.16
  4. Step 4: Simplify right side
    12,417.39x = 126,578,909.89
  5. Step 5: Solve for x
    x = 126,578,909.89/12,417.39
  6. Step 6: Final answer
    x = 10,193.68

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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.