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Finding the Fourth Proportional to 23,195.98, 32,010.54 and 12,585.64

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Solution

The fourth proportional to 23,195.98, 32,010.54 and 12,585.64 is: 17,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.98 : 32,010.54 = 12,585.64 : x
  2. Step 2: Convert to fraction form
    23,195.98/32,010.54 = 12,585.64/x
  3. Step 3: Cross multiply
    23,195.98x = 32,010.54 × 12,585.64
  4. Step 4: Simplify right side
    23,195.98x = 402,873,132.65
  5. Step 5: Solve for x
    x = 402,873,132.65/23,195.98
  6. Step 6: Final answer
    x = 17,368.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.