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Finding the Fourth Proportional to 14,082.38, 19,425.90 and 9,047.35

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Solution

The fourth proportional to 14,082.38, 19,425.90 and 9,047.35 is: 12,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.38 : 19,425.90 = 9,047.35 : x
  2. Step 2: Convert to fraction form
    14,082.38/19,425.90 = 9,047.35/x
  3. Step 3: Cross multiply
    14,082.38x = 19,425.90 × 9,047.35
  4. Step 4: Simplify right side
    14,082.38x = 175,752,916.37
  5. Step 5: Solve for x
    x = 175,752,916.37/14,082.38
  6. Step 6: Final answer
    x = 12,480.34

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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.