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Finding the Fourth Proportional to 24,512.48, 33,830.72 and 13,758.50

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Solution

The fourth proportional to 24,512.48, 33,830.72 and 13,758.50 is: 18,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.48 : 33,830.72 = 13,758.50 : x
  2. Step 2: Convert to fraction form
    24,512.48/33,830.72 = 13,758.50/x
  3. Step 3: Cross multiply
    24,512.48x = 33,830.72 × 13,758.50
  4. Step 4: Simplify right side
    24,512.48x = 465,459,961.12
  5. Step 5: Solve for x
    x = 465,459,961.12/24,512.48
  6. Step 6: Final answer
    x = 18,988.69

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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.