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Finding the Fourth Proportional to 12,987.90, 19,496.43 and 5,202.18

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Solution

The fourth proportional to 12,987.90, 19,496.43 and 5,202.18 is: 7,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.90 : 19,496.43 = 5,202.18 : x
  2. Step 2: Convert to fraction form
    12,987.90/19,496.43 = 5,202.18/x
  3. Step 3: Cross multiply
    12,987.90x = 19,496.43 × 5,202.18
  4. Step 4: Simplify right side
    12,987.90x = 101,423,938.22
  5. Step 5: Solve for x
    x = 101,423,938.22/12,987.90
  6. Step 6: Final answer
    x = 7,809.11

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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.