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Finding the Fourth Proportional to 43,509.20, 65,266.28 and 12,342

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Solution

The fourth proportional to 43,509.20, 65,266.28 and 12,342 is: 18,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509.20 : 65,266.28 = 12,342 : x
  2. Step 2: Convert to fraction form
    43,509.20/65,266.28 = 12,342/x
  3. Step 3: Cross multiply
    43,509.20x = 65,266.28 × 12,342
  4. Step 4: Simplify right side
    43,509.20x = 805,516,427.76
  5. Step 5: Solve for x
    x = 805,516,427.76/43,509.20
  6. Step 6: Final answer
    x = 18,513.70

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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.