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Finding the Fourth Proportional to 24,132.84, 33,303.98 and 13,523.16

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Solution

The fourth proportional to 24,132.84, 33,303.98 and 13,523.16 is: 18,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,132.84 : 33,303.98 = 13,523.16 : x
  2. Step 2: Convert to fraction form
    24,132.84/33,303.98 = 13,523.16/x
  3. Step 3: Cross multiply
    24,132.84x = 33,303.98 × 13,523.16
  4. Step 4: Simplify right side
    24,132.84x = 450,375,050.18
  5. Step 5: Solve for x
    x = 450,375,050.18/24,132.84
  6. Step 6: Final answer
    x = 18,662.33

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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.