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Finding the Fourth Proportional to 16,506.47, 24,728.01 and 13,181.31

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Solution

The fourth proportional to 16,506.47, 24,728.01 and 13,181.31 is: 19,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.47 : 24,728.01 = 13,181.31 : x
  2. Step 2: Convert to fraction form
    16,506.47/24,728.01 = 13,181.31/x
  3. Step 3: Cross multiply
    16,506.47x = 24,728.01 × 13,181.31
  4. Step 4: Simplify right side
    16,506.47x = 325,947,565.49
  5. Step 5: Solve for x
    x = 325,947,565.49/16,506.47
  6. Step 6: Final answer
    x = 19,746.66

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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.