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Finding the Fourth Proportional to 36,149.36, 54,218.55 and 9,856.16

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Solution

The fourth proportional to 36,149.36, 54,218.55 and 9,856.16 is: 14,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.36 : 54,218.55 = 9,856.16 : x
  2. Step 2: Convert to fraction form
    36,149.36/54,218.55 = 9,856.16/x
  3. Step 3: Cross multiply
    36,149.36x = 54,218.55 × 9,856.16
  4. Step 4: Simplify right side
    36,149.36x = 534,386,703.77
  5. Step 5: Solve for x
    x = 534,386,703.77/36,149.36
  6. Step 6: Final answer
    x = 14,782.74

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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.