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Finding the Fourth Proportional to 24,466.12, 33,762.54 and 13,856.68

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Solution

The fourth proportional to 24,466.12, 33,762.54 and 13,856.68 is: 19,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.12 : 33,762.54 = 13,856.68 : x
  2. Step 2: Convert to fraction form
    24,466.12/33,762.54 = 13,856.68/x
  3. Step 3: Cross multiply
    24,466.12x = 33,762.54 × 13,856.68
  4. Step 4: Simplify right side
    24,466.12x = 467,836,712.77
  5. Step 5: Solve for x
    x = 467,836,712.77/24,466.12
  6. Step 6: Final answer
    x = 19,121.82

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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.