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Finding the Fourth Proportional to 24,194.84, 33,387.02 and 13,582.40

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Solution

The fourth proportional to 24,194.84, 33,387.02 and 13,582.40 is: 18,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.84 : 33,387.02 = 13,582.40 : x
  2. Step 2: Convert to fraction form
    24,194.84/33,387.02 = 13,582.40/x
  3. Step 3: Cross multiply
    24,194.84x = 33,387.02 × 13,582.40
  4. Step 4: Simplify right side
    24,194.84x = 453,475,860.45
  5. Step 5: Solve for x
    x = 453,475,860.45/24,194.84
  6. Step 6: Final answer
    x = 18,742.67

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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.