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Finding the Fourth Proportional to 17,669.74, 24,384.06 and 9,711.80

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Solution

The fourth proportional to 17,669.74, 24,384.06 and 9,711.80 is: 13,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.74 : 24,384.06 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    17,669.74/24,384.06 = 9,711.80/x
  3. Step 3: Cross multiply
    17,669.74x = 24,384.06 × 9,711.80
  4. Step 4: Simplify right side
    17,669.74x = 236,813,113.91
  5. Step 5: Solve for x
    x = 236,813,113.91/17,669.74
  6. Step 6: Final answer
    x = 13,402.18

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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.