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Finding the Fourth Proportional to 24,508, 33,821.58 and 13,330

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Solution

The fourth proportional to 24,508, 33,821.58 and 13,330 is: 18,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508 : 33,821.58 = 13,330 : x
  2. Step 2: Convert to fraction form
    24,508/33,821.58 = 13,330/x
  3. Step 3: Cross multiply
    24,508x = 33,821.58 × 13,330
  4. Step 4: Simplify right side
    24,508x = 450,841,661.40
  5. Step 5: Solve for x
    x = 450,841,661.40/24,508
  6. Step 6: Final answer
    x = 18,395.69

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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.