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Finding the Fourth Proportional to 17,451.71, 24,078.03 and 9,897.65

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Solution

The fourth proportional to 17,451.71, 24,078.03 and 9,897.65 is: 13,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.71 : 24,078.03 = 9,897.65 : x
  2. Step 2: Convert to fraction form
    17,451.71/24,078.03 = 9,897.65/x
  3. Step 3: Cross multiply
    17,451.71x = 24,078.03 × 9,897.65
  4. Step 4: Simplify right side
    17,451.71x = 238,315,913.63
  5. Step 5: Solve for x
    x = 238,315,913.63/17,451.71
  6. Step 6: Final answer
    x = 13,655.73

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1.5x scale

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.