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Finding the Fourth Proportional to 27,077.74, 37,359.93 and 16,459.86

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Solution

The fourth proportional to 27,077.74, 37,359.93 and 16,459.86 is: 22,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.74 : 37,359.93 = 16,459.86 : x
  2. Step 2: Convert to fraction form
    27,077.74/37,359.93 = 16,459.86/x
  3. Step 3: Cross multiply
    27,077.74x = 37,359.93 × 16,459.86
  4. Step 4: Simplify right side
    27,077.74x = 614,939,209.08
  5. Step 5: Solve for x
    x = 614,939,209.08/27,077.74
  6. Step 6: Final answer
    x = 22,710.14

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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.