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Finding the Fourth Proportional to 16,534.96, 24,804.74 and 8,744.32

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Solution

The fourth proportional to 16,534.96, 24,804.74 and 8,744.32 is: 13,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.96 : 24,804.74 = 8,744.32 : x
  2. Step 2: Convert to fraction form
    16,534.96/24,804.74 = 8,744.32/x
  3. Step 3: Cross multiply
    16,534.96x = 24,804.74 × 8,744.32
  4. Step 4: Simplify right side
    16,534.96x = 216,900,584.08
  5. Step 5: Solve for x
    x = 216,900,584.08/16,534.96
  6. Step 6: Final answer
    x = 13,117.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.