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Finding the Fourth Proportional to 13,678.34, 18,876.17 and 7,710.12

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Solution

The fourth proportional to 13,678.34, 18,876.17 and 7,710.12 is: 10,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.34 : 18,876.17 = 7,710.12 : x
  2. Step 2: Convert to fraction form
    13,678.34/18,876.17 = 7,710.12/x
  3. Step 3: Cross multiply
    13,678.34x = 18,876.17 × 7,710.12
  4. Step 4: Simplify right side
    13,678.34x = 145,537,555.12
  5. Step 5: Solve for x
    x = 145,537,555.12/13,678.34
  6. Step 6: Final answer
    x = 10,640.01

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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.