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Finding the Fourth Proportional to 14,902.44, 20,565.81 and 8,188.49

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Solution

The fourth proportional to 14,902.44, 20,565.81 and 8,188.49 is: 11,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.44 : 20,565.81 = 8,188.49 : x
  2. Step 2: Convert to fraction form
    14,902.44/20,565.81 = 8,188.49/x
  3. Step 3: Cross multiply
    14,902.44x = 20,565.81 × 8,188.49
  4. Step 4: Simplify right side
    14,902.44x = 168,402,826.70
  5. Step 5: Solve for x
    x = 168,402,826.70/14,902.44
  6. Step 6: Final answer
    x = 11,300.35

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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.