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Finding the Fourth Proportional to 23,711, 32,721.63 and 15,342.08

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Solution

The fourth proportional to 23,711, 32,721.63 and 15,342.08 is: 21,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711 : 32,721.63 = 15,342.08 : x
  2. Step 2: Convert to fraction form
    23,711/32,721.63 = 15,342.08/x
  3. Step 3: Cross multiply
    23,711x = 32,721.63 × 15,342.08
  4. Step 4: Simplify right side
    23,711x = 502,017,865.19
  5. Step 5: Solve for x
    x = 502,017,865.19/23,711
  6. Step 6: Final answer
    x = 21,172.36

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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.