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Finding the Fourth Proportional to 17,678.16, 24,402.15 and 11,711.76

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Solution

The fourth proportional to 17,678.16, 24,402.15 and 11,711.76 is: 16,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.16 : 24,402.15 = 11,711.76 : x
  2. Step 2: Convert to fraction form
    17,678.16/24,402.15 = 11,711.76/x
  3. Step 3: Cross multiply
    17,678.16x = 24,402.15 × 11,711.76
  4. Step 4: Simplify right side
    17,678.16x = 285,792,124.28
  5. Step 5: Solve for x
    x = 285,792,124.28/17,678.16
  6. Step 6: Final answer
    x = 16,166.40

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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.