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Finding the Fourth Proportional to 16,854.76, 23,248.74 and 10,230.76

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Solution

The fourth proportional to 16,854.76, 23,248.74 and 10,230.76 is: 14,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.76 : 23,248.74 = 10,230.76 : x
  2. Step 2: Convert to fraction form
    16,854.76/23,248.74 = 10,230.76/x
  3. Step 3: Cross multiply
    16,854.76x = 23,248.74 × 10,230.76
  4. Step 4: Simplify right side
    16,854.76x = 237,852,279.24
  5. Step 5: Solve for x
    x = 237,852,279.24/16,854.76
  6. Step 6: Final answer
    x = 14,111.88

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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.