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Finding the Fourth Proportional to 22,595.42, 31,178.45 and 12,524.43

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Solution

The fourth proportional to 22,595.42, 31,178.45 and 12,524.43 is: 17,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.42 : 31,178.45 = 12,524.43 : x
  2. Step 2: Convert to fraction form
    22,595.42/31,178.45 = 12,524.43/x
  3. Step 3: Cross multiply
    22,595.42x = 31,178.45 × 12,524.43
  4. Step 4: Simplify right side
    22,595.42x = 390,492,251.91
  5. Step 5: Solve for x
    x = 390,492,251.91/22,595.42
  6. Step 6: Final answer
    x = 17,281.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.