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Finding the Fourth Proportional to 13,678.88, 18,876.86 and 7,391.24

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Solution

The fourth proportional to 13,678.88, 18,876.86 and 7,391.24 is: 10,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.88 : 18,876.86 = 7,391.24 : x
  2. Step 2: Convert to fraction form
    13,678.88/18,876.86 = 7,391.24/x
  3. Step 3: Cross multiply
    13,678.88x = 18,876.86 × 7,391.24
  4. Step 4: Simplify right side
    13,678.88x = 139,523,402.71
  5. Step 5: Solve for x
    x = 139,523,402.71/13,678.88
  6. Step 6: Final answer
    x = 10,199.91

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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.