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Finding the Fourth Proportional to 17,882.74, 24,678 and 9,925.03

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Solution

The fourth proportional to 17,882.74, 24,678 and 9,925.03 is: 13,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.74 : 24,678 = 9,925.03 : x
  2. Step 2: Convert to fraction form
    17,882.74/24,678 = 9,925.03/x
  3. Step 3: Cross multiply
    17,882.74x = 24,678 × 9,925.03
  4. Step 4: Simplify right side
    17,882.74x = 244,929,890.34
  5. Step 5: Solve for x
    x = 244,929,890.34/17,882.74
  6. Step 6: Final answer
    x = 13,696.44

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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.