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Finding the Fourth Proportional to 24,117.40, 36,163.95 and 14,259.70

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Solution

The fourth proportional to 24,117.40, 36,163.95 and 14,259.70 is: 21,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.40 : 36,163.95 = 14,259.70 : x
  2. Step 2: Convert to fraction form
    24,117.40/36,163.95 = 14,259.70/x
  3. Step 3: Cross multiply
    24,117.40x = 36,163.95 × 14,259.70
  4. Step 4: Simplify right side
    24,117.40x = 515,687,077.82
  5. Step 5: Solve for x
    x = 515,687,077.82/24,117.40
  6. Step 6: Final answer
    x = 21,382.37

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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.