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Finding the Fourth Proportional to 23,726.78, 32,743.06 and 12,971.88

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Solution

The fourth proportional to 23,726.78, 32,743.06 and 12,971.88 is: 17,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.78 : 32,743.06 = 12,971.88 : x
  2. Step 2: Convert to fraction form
    23,726.78/32,743.06 = 12,971.88/x
  3. Step 3: Cross multiply
    23,726.78x = 32,743.06 × 12,971.88
  4. Step 4: Simplify right side
    23,726.78x = 424,739,045.15
  5. Step 5: Solve for x
    x = 424,739,045.15/23,726.78
  6. Step 6: Final answer
    x = 17,901.25

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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.