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Finding the Fourth Proportional to 13,897.92, 20,848.80 and 5,688

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Solution

The fourth proportional to 13,897.92, 20,848.80 and 5,688 is: 8,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.92 : 20,848.80 = 5,688 : x
  2. Step 2: Convert to fraction form
    13,897.92/20,848.80 = 5,688/x
  3. Step 3: Cross multiply
    13,897.92x = 20,848.80 × 5,688
  4. Step 4: Simplify right side
    13,897.92x = 118,587,974.40
  5. Step 5: Solve for x
    x = 118,587,974.40/13,897.92
  6. Step 6: Final answer
    x = 8,532.79

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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.