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Finding the Fourth Proportional to 16,509.60, 24,763.80 and 6,646.20

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Solution

The fourth proportional to 16,509.60, 24,763.80 and 6,646.20 is: 9,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.60 : 24,763.80 = 6,646.20 : x
  2. Step 2: Convert to fraction form
    16,509.60/24,763.80 = 6,646.20/x
  3. Step 3: Cross multiply
    16,509.60x = 24,763.80 × 6,646.20
  4. Step 4: Simplify right side
    16,509.60x = 164,585,167.56
  5. Step 5: Solve for x
    x = 164,585,167.56/16,509.60
  6. Step 6: Final answer
    x = 9,969.06

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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.