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Finding the Fourth Proportional to 13,678.31, 18,878.81 and 7,710.08

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Solution

The fourth proportional to 13,678.31, 18,878.81 and 7,710.08 is: 10,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.31 : 18,878.81 = 7,710.08 : x
  2. Step 2: Convert to fraction form
    13,678.31/18,878.81 = 7,710.08/x
  3. Step 3: Cross multiply
    13,678.31x = 18,878.81 × 7,710.08
  4. Step 4: Simplify right side
    13,678.31x = 145,557,002.46
  5. Step 5: Solve for x
    x = 145,557,002.46/13,678.31
  6. Step 6: Final answer
    x = 10,641.44

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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.