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Finding the Fourth Proportional to 27,572.42, 38,056.70 and 15,642.74

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Solution

The fourth proportional to 27,572.42, 38,056.70 and 15,642.74 is: 21,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.42 : 38,056.70 = 15,642.74 : x
  2. Step 2: Convert to fraction form
    27,572.42/38,056.70 = 15,642.74/x
  3. Step 3: Cross multiply
    27,572.42x = 38,056.70 × 15,642.74
  4. Step 4: Simplify right side
    27,572.42x = 595,311,197.61
  5. Step 5: Solve for x
    x = 595,311,197.61/27,572.42
  6. Step 6: Final answer
    x = 21,590.82

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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.