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Finding the Fourth Proportional to 24,135.84, 33,309.50 and 14,065.11

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Solution

The fourth proportional to 24,135.84, 33,309.50 and 14,065.11 is: 19,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.84 : 33,309.50 = 14,065.11 : x
  2. Step 2: Convert to fraction form
    24,135.84/33,309.50 = 14,065.11/x
  3. Step 3: Cross multiply
    24,135.84x = 33,309.50 × 14,065.11
  4. Step 4: Simplify right side
    24,135.84x = 468,501,711.22
  5. Step 5: Solve for x
    x = 468,501,711.22/24,135.84
  6. Step 6: Final answer
    x = 19,411.04

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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.