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Finding the Fourth Proportional to 19,802.98, 29,702.31 and 5,011.90

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Solution

The fourth proportional to 19,802.98, 29,702.31 and 5,011.90 is: 7,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.98 : 29,702.31 = 5,011.90 : x
  2. Step 2: Convert to fraction form
    19,802.98/29,702.31 = 5,011.90/x
  3. Step 3: Cross multiply
    19,802.98x = 29,702.31 × 5,011.90
  4. Step 4: Simplify right side
    19,802.98x = 148,865,007.49
  5. Step 5: Solve for x
    x = 148,865,007.49/19,802.98
  6. Step 6: Final answer
    x = 7,517.30

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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.