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Finding the Fourth Proportional to 17,882.66, 24,677.51 and 10,328.40

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Solution

The fourth proportional to 17,882.66, 24,677.51 and 10,328.40 is: 14,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.66 : 24,677.51 = 10,328.40 : x
  2. Step 2: Convert to fraction form
    17,882.66/24,677.51 = 10,328.40/x
  3. Step 3: Cross multiply
    17,882.66x = 24,677.51 × 10,328.40
  4. Step 4: Simplify right side
    17,882.66x = 254,879,142.64
  5. Step 5: Solve for x
    x = 254,879,142.64/17,882.66
  6. Step 6: Final answer
    x = 14,252.87

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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.