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Finding the Fourth Proportional to 24,533.68, 33,860.91 and 14,461.54

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Solution

The fourth proportional to 24,533.68, 33,860.91 and 14,461.54 is: 19,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.68 : 33,860.91 = 14,461.54 : x
  2. Step 2: Convert to fraction form
    24,533.68/33,860.91 = 14,461.54/x
  3. Step 3: Cross multiply
    24,533.68x = 33,860.91 × 14,461.54
  4. Step 4: Simplify right side
    24,533.68x = 489,680,904.40
  5. Step 5: Solve for x
    x = 489,680,904.40/24,533.68
  6. Step 6: Final answer
    x = 19,959.54

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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.