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Finding the Fourth Proportional to 18,077.16, 24,946.02 and 10,119

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Solution

The fourth proportional to 18,077.16, 24,946.02 and 10,119 is: 13,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077.16 : 24,946.02 = 10,119 : x
  2. Step 2: Convert to fraction form
    18,077.16/24,946.02 = 10,119/x
  3. Step 3: Cross multiply
    18,077.16x = 24,946.02 × 10,119
  4. Step 4: Simplify right side
    18,077.16x = 252,428,776.38
  5. Step 5: Solve for x
    x = 252,428,776.38/18,077.16
  6. Step 6: Final answer
    x = 13,963.96

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Why These Related Problems?

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