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Finding the Fourth Proportional to 19,801.64, 29,702.18 and 5,010.46

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Solution

The fourth proportional to 19,801.64, 29,702.18 and 5,010.46 is: 7,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.64 : 29,702.18 = 5,010.46 : x
  2. Step 2: Convert to fraction form
    19,801.64/29,702.18 = 5,010.46/x
  3. Step 3: Cross multiply
    19,801.64x = 29,702.18 × 5,010.46
  4. Step 4: Simplify right side
    19,801.64x = 148,821,523.07
  5. Step 5: Solve for x
    x = 148,821,523.07/19,801.64
  6. Step 6: Final answer
    x = 7,515.62

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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.