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Finding the Fourth Proportional to 13,678.38, 18,876.30 and 7,710.04

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Solution

The fourth proportional to 13,678.38, 18,876.30 and 7,710.04 is: 10,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.38 : 18,876.30 = 7,710.04 : x
  2. Step 2: Convert to fraction form
    13,678.38/18,876.30 = 7,710.04/x
  3. Step 3: Cross multiply
    13,678.38x = 18,876.30 × 7,710.04
  4. Step 4: Simplify right side
    13,678.38x = 145,537,028.05
  5. Step 5: Solve for x
    x = 145,537,028.05/13,678.38
  6. Step 6: Final answer
    x = 10,639.93

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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.