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Finding the Fourth Proportional to 27,700.32, 41,562.66 and 14,549.64

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Solution

The fourth proportional to 27,700.32, 41,562.66 and 14,549.64 is: 21,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.32 : 41,562.66 = 14,549.64 : x
  2. Step 2: Convert to fraction form
    27,700.32/41,562.66 = 14,549.64/x
  3. Step 3: Cross multiply
    27,700.32x = 41,562.66 × 14,549.64
  4. Step 4: Simplify right side
    27,700.32x = 604,721,740.44
  5. Step 5: Solve for x
    x = 604,721,740.44/27,700.32
  6. Step 6: Final answer
    x = 21,830.86

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