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Finding the Fourth Proportional to 15,878.66, 23,818.00 and 4,033.32

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Solution

The fourth proportional to 15,878.66, 23,818.00 and 4,033.32 is: 6,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.66 : 23,818.00 = 4,033.32 : x
  2. Step 2: Convert to fraction form
    15,878.66/23,818.00 = 4,033.32/x
  3. Step 3: Cross multiply
    15,878.66x = 23,818.00 × 4,033.32
  4. Step 4: Simplify right side
    15,878.66x = 96,065,601.90
  5. Step 5: Solve for x
    x = 96,065,601.90/15,878.66
  6. Step 6: Final answer
    x = 6,049.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.