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Finding the Fourth Proportional to 36,886.16, 55,303.32 and 13,509.56

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Solution

The fourth proportional to 36,886.16, 55,303.32 and 13,509.56 is: 20,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886.16 : 55,303.32 = 13,509.56 : x
  2. Step 2: Convert to fraction form
    36,886.16/55,303.32 = 13,509.56/x
  3. Step 3: Cross multiply
    36,886.16x = 55,303.32 × 13,509.56
  4. Step 4: Simplify right side
    36,886.16x = 747,123,519.74
  5. Step 5: Solve for x
    x = 747,123,519.74/36,886.16
  6. Step 6: Final answer
    x = 20,254.85

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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.