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Finding the Fourth Proportional to 14,902.95, 20,565.06 and 8,188.86

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Solution

The fourth proportional to 14,902.95, 20,565.06 and 8,188.86 is: 11,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.95 : 20,565.06 = 8,188.86 : x
  2. Step 2: Convert to fraction form
    14,902.95/20,565.06 = 8,188.86/x
  3. Step 3: Cross multiply
    14,902.95x = 20,565.06 × 8,188.86
  4. Step 4: Simplify right side
    14,902.95x = 168,404,443.64
  5. Step 5: Solve for x
    x = 168,404,443.64/14,902.95
  6. Step 6: Final answer
    x = 11,300.07

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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.