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Finding the Fourth Proportional to 19,977.18, 29,969.41 and 9,987.14

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Solution

The fourth proportional to 19,977.18, 29,969.41 and 9,987.14 is: 14,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.18 : 29,969.41 = 9,987.14 : x
  2. Step 2: Convert to fraction form
    19,977.18/29,969.41 = 9,987.14/x
  3. Step 3: Cross multiply
    19,977.18x = 29,969.41 × 9,987.14
  4. Step 4: Simplify right side
    19,977.18x = 299,308,643.45
  5. Step 5: Solve for x
    x = 299,308,643.45/19,977.18
  6. Step 6: Final answer
    x = 14,982.53

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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.