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Finding the Fourth Proportional to 19,977.64, 29,949.18 and 7,657

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Solution

The fourth proportional to 19,977.64, 29,949.18 and 7,657 is: 11,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.64 : 29,949.18 = 7,657 : x
  2. Step 2: Convert to fraction form
    19,977.64/29,949.18 = 7,657/x
  3. Step 3: Cross multiply
    19,977.64x = 29,949.18 × 7,657
  4. Step 4: Simplify right side
    19,977.64x = 229,320,871.26
  5. Step 5: Solve for x
    x = 229,320,871.26/19,977.64
  6. Step 6: Final answer
    x = 11,478.88

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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.