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Finding the Fourth Proportional to 16,549.76, 22,830.88 and 9,472.16

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Solution

The fourth proportional to 16,549.76, 22,830.88 and 9,472.16 is: 13,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.76 : 22,830.88 = 9,472.16 : x
  2. Step 2: Convert to fraction form
    16,549.76/22,830.88 = 9,472.16/x
  3. Step 3: Cross multiply
    16,549.76x = 22,830.88 × 9,472.16
  4. Step 4: Simplify right side
    16,549.76x = 216,257,748.30
  5. Step 5: Solve for x
    x = 216,257,748.30/16,549.76
  6. Step 6: Final answer
    x = 13,067.12

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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.