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Finding the Fourth Proportional to 24,140.34, 33,315.72 and 14,069.61

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Solution

The fourth proportional to 24,140.34, 33,315.72 and 14,069.61 is: 19,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.34 : 33,315.72 = 14,069.61 : x
  2. Step 2: Convert to fraction form
    24,140.34/33,315.72 = 14,069.61/x
  3. Step 3: Cross multiply
    24,140.34x = 33,315.72 × 14,069.61
  4. Step 4: Simplify right side
    24,140.34x = 468,739,187.27
  5. Step 5: Solve for x
    x = 468,739,187.27/24,140.34
  6. Step 6: Final answer
    x = 19,417.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.