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Finding the Fourth Proportional to 17,454.78, 24,088.11 and 9,497.52

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Solution

The fourth proportional to 17,454.78, 24,088.11 and 9,497.52 is: 13,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.78 : 24,088.11 = 9,497.52 : x
  2. Step 2: Convert to fraction form
    17,454.78/24,088.11 = 9,497.52/x
  3. Step 3: Cross multiply
    17,454.78x = 24,088.11 × 9,497.52
  4. Step 4: Simplify right side
    17,454.78x = 228,777,306.49
  5. Step 5: Solve for x
    x = 228,777,306.49/17,454.78
  6. Step 6: Final answer
    x = 13,106.86

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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.