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Finding the Fourth Proportional to 17,390.12, 24,011.52 and 10,685

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Solution

The fourth proportional to 17,390.12, 24,011.52 and 10,685 is: 14,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,390.12 : 24,011.52 = 10,685 : x
  2. Step 2: Convert to fraction form
    17,390.12/24,011.52 = 10,685/x
  3. Step 3: Cross multiply
    17,390.12x = 24,011.52 × 10,685
  4. Step 4: Simplify right side
    17,390.12x = 256,563,091.20
  5. Step 5: Solve for x
    x = 256,563,091.20/17,390.12
  6. Step 6: Final answer
    x = 14,753.38

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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.