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Finding the Fourth Proportional to 22,927.32, 34,393.68 and 9,781.20

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Solution

The fourth proportional to 22,927.32, 34,393.68 and 9,781.20 is: 14,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.32 : 34,393.68 = 9,781.20 : x
  2. Step 2: Convert to fraction form
    22,927.32/34,393.68 = 9,781.20/x
  3. Step 3: Cross multiply
    22,927.32x = 34,393.68 × 9,781.20
  4. Step 4: Simplify right side
    22,927.32x = 336,411,462.82
  5. Step 5: Solve for x
    x = 336,411,462.82/22,927.32
  6. Step 6: Final answer
    x = 14,672.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.