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Finding the Fourth Proportional to 27,898.88, 38,489.32 and 17,824.71

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Solution

The fourth proportional to 27,898.88, 38,489.32 and 17,824.71 is: 24,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.88 : 38,489.32 = 17,824.71 : x
  2. Step 2: Convert to fraction form
    27,898.88/38,489.32 = 17,824.71/x
  3. Step 3: Cross multiply
    27,898.88x = 38,489.32 × 17,824.71
  4. Step 4: Simplify right side
    27,898.88x = 686,060,967.10
  5. Step 5: Solve for x
    x = 686,060,967.10/27,898.88
  6. Step 6: Final answer
    x = 24,590.99

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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.