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Finding the Fourth Proportional to 43,343.76, 65,018.08 and 13,764

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Solution

The fourth proportional to 43,343.76, 65,018.08 and 13,764 is: 20,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,343.76 : 65,018.08 = 13,764 : x
  2. Step 2: Convert to fraction form
    43,343.76/65,018.08 = 13,764/x
  3. Step 3: Cross multiply
    43,343.76x = 65,018.08 × 13,764
  4. Step 4: Simplify right side
    43,343.76x = 894,908,853.12
  5. Step 5: Solve for x
    x = 894,908,853.12/43,343.76
  6. Step 6: Final answer
    x = 20,646.77

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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.