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Finding the Fourth Proportional to 36,188.19, 54,282.33 and 9,893.16

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Solution

The fourth proportional to 36,188.19, 54,282.33 and 9,893.16 is: 14,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,188.19 : 54,282.33 = 9,893.16 : x
  2. Step 2: Convert to fraction form
    36,188.19/54,282.33 = 9,893.16/x
  3. Step 3: Cross multiply
    36,188.19x = 54,282.33 × 9,893.16
  4. Step 4: Simplify right side
    36,188.19x = 537,023,775.86
  5. Step 5: Solve for x
    x = 537,023,775.86/36,188.19
  6. Step 6: Final answer
    x = 14,839.75

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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.