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Finding the Fourth Proportional to 24,144.95, 33,319.98 and 13,534.58

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Solution

The fourth proportional to 24,144.95, 33,319.98 and 13,534.58 is: 18,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.95 : 33,319.98 = 13,534.58 : x
  2. Step 2: Convert to fraction form
    24,144.95/33,319.98 = 13,534.58/x
  3. Step 3: Cross multiply
    24,144.95x = 33,319.98 × 13,534.58
  4. Step 4: Simplify right side
    24,144.95x = 450,971,768.31
  5. Step 5: Solve for x
    x = 450,971,768.31/24,144.95
  6. Step 6: Final answer
    x = 18,677.69

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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.