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Finding the Fourth Proportional to 14,702.80, 22,062.88 and 5,819

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Solution

The fourth proportional to 14,702.80, 22,062.88 and 5,819 is: 8,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.80 : 22,062.88 = 5,819 : x
  2. Step 2: Convert to fraction form
    14,702.80/22,062.88 = 5,819/x
  3. Step 3: Cross multiply
    14,702.80x = 22,062.88 × 5,819
  4. Step 4: Simplify right side
    14,702.80x = 128,383,898.72
  5. Step 5: Solve for x
    x = 128,383,898.72/14,702.80
  6. Step 6: Final answer
    x = 8,731.94

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