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Finding the Fourth Proportional to 17,769.47, 24,521.47 and 9,702.86

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Solution

The fourth proportional to 17,769.47, 24,521.47 and 9,702.86 is: 13,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.47 : 24,521.47 = 9,702.86 : x
  2. Step 2: Convert to fraction form
    17,769.47/24,521.47 = 9,702.86/x
  3. Step 3: Cross multiply
    17,769.47x = 24,521.47 × 9,702.86
  4. Step 4: Simplify right side
    17,769.47x = 237,928,390.40
  5. Step 5: Solve for x
    x = 237,928,390.40/17,769.47
  6. Step 6: Final answer
    x = 13,389.73

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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.