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Finding the Fourth Proportional to 24,300.40, 33,533.82 and 13,689.80

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Solution

The fourth proportional to 24,300.40, 33,533.82 and 13,689.80 is: 18,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300.40 : 33,533.82 = 13,689.80 : x
  2. Step 2: Convert to fraction form
    24,300.40/33,533.82 = 13,689.80/x
  3. Step 3: Cross multiply
    24,300.40x = 33,533.82 × 13,689.80
  4. Step 4: Simplify right side
    24,300.40x = 459,071,289.04
  5. Step 5: Solve for x
    x = 459,071,289.04/24,300.40
  6. Step 6: Final answer
    x = 18,891.51

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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.