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Finding the Fourth Proportional to 16,430.40, 24,656.40 and 8,116.02

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Solution

The fourth proportional to 16,430.40, 24,656.40 and 8,116.02 is: 12,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.40 : 24,656.40 = 8,116.02 : x
  2. Step 2: Convert to fraction form
    16,430.40/24,656.40 = 8,116.02/x
  3. Step 3: Cross multiply
    16,430.40x = 24,656.40 × 8,116.02
  4. Step 4: Simplify right side
    16,430.40x = 200,111,835.53
  5. Step 5: Solve for x
    x = 200,111,835.53/16,430.40
  6. Step 6: Final answer
    x = 12,179.36

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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.