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Finding the Fourth Proportional to 13,908.78, 20,848.59 and 6,507

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Solution

The fourth proportional to 13,908.78, 20,848.59 and 6,507 is: 9,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.78 : 20,848.59 = 6,507 : x
  2. Step 2: Convert to fraction form
    13,908.78/20,848.59 = 6,507/x
  3. Step 3: Cross multiply
    13,908.78x = 20,848.59 × 6,507
  4. Step 4: Simplify right side
    13,908.78x = 135,661,775.13
  5. Step 5: Solve for x
    x = 135,661,775.13/13,908.78
  6. Step 6: Final answer
    x = 9,753.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.