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Finding the Fourth Proportional to 13,913.36, 20,870.52 and 6,984.08

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Solution

The fourth proportional to 13,913.36, 20,870.52 and 6,984.08 is: 10,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.36 : 20,870.52 = 6,984.08 : x
  2. Step 2: Convert to fraction form
    13,913.36/20,870.52 = 6,984.08/x
  3. Step 3: Cross multiply
    13,913.36x = 20,870.52 × 6,984.08
  4. Step 4: Simplify right side
    13,913.36x = 145,761,381.32
  5. Step 5: Solve for x
    x = 145,761,381.32/13,913.36
  6. Step 6: Final answer
    x = 10,476.36

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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.