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Finding the Fourth Proportional to 16,496.32, 24,743.76 and 4,810

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Solution

The fourth proportional to 16,496.32, 24,743.76 and 4,810 is: 7,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.32 : 24,743.76 = 4,810 : x
  2. Step 2: Convert to fraction form
    16,496.32/24,743.76 = 4,810/x
  3. Step 3: Cross multiply
    16,496.32x = 24,743.76 × 4,810
  4. Step 4: Simplify right side
    16,496.32x = 119,017,485.60
  5. Step 5: Solve for x
    x = 119,017,485.60/16,496.32
  6. Step 6: Final answer
    x = 7,214.79

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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.