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Finding the Fourth Proportional to 29,888.16, 41,243.76 and 17,952

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Solution

The fourth proportional to 29,888.16, 41,243.76 and 17,952 is: 24,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888.16 : 41,243.76 = 17,952 : x
  2. Step 2: Convert to fraction form
    29,888.16/41,243.76 = 17,952/x
  3. Step 3: Cross multiply
    29,888.16x = 41,243.76 × 17,952
  4. Step 4: Simplify right side
    29,888.16x = 740,407,979.52
  5. Step 5: Solve for x
    x = 740,407,979.52/29,888.16
  6. Step 6: Final answer
    x = 24,772.62

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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.