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Finding the Fourth Proportional to 29,780.61, 41,098.10 and 16,858.88

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Solution

The fourth proportional to 29,780.61, 41,098.10 and 16,858.88 is: 23,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.61 : 41,098.10 = 16,858.88 : x
  2. Step 2: Convert to fraction form
    29,780.61/41,098.10 = 16,858.88/x
  3. Step 3: Cross multiply
    29,780.61x = 41,098.10 × 16,858.88
  4. Step 4: Simplify right side
    29,780.61x = 692,867,851.83
  5. Step 5: Solve for x
    x = 692,867,851.83/29,780.61
  6. Step 6: Final answer
    x = 23,265.74

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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.