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Finding the Fourth Proportional to 27,177.62, 37,505.49 and 16,421.00

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Solution

The fourth proportional to 27,177.62, 37,505.49 and 16,421.00 is: 22,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.62 : 37,505.49 = 16,421.00 : x
  2. Step 2: Convert to fraction form
    27,177.62/37,505.49 = 16,421.00/x
  3. Step 3: Cross multiply
    27,177.62x = 37,505.49 × 16,421.00
  4. Step 4: Simplify right side
    27,177.62x = 615,877,402.18
  5. Step 5: Solve for x
    x = 615,877,402.18/27,177.62
  6. Step 6: Final answer
    x = 22,661.20

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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.