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Finding the Fourth Proportional to 23,302.87, 32,147.73 and 15,746.44

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Solution

The fourth proportional to 23,302.87, 32,147.73 and 15,746.44 is: 21,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.87 : 32,147.73 = 15,746.44 : x
  2. Step 2: Convert to fraction form
    23,302.87/32,147.73 = 15,746.44/x
  3. Step 3: Cross multiply
    23,302.87x = 32,147.73 × 15,746.44
  4. Step 4: Simplify right side
    23,302.87x = 506,212,301.58
  5. Step 5: Solve for x
    x = 506,212,301.58/23,302.87
  6. Step 6: Final answer
    x = 21,723.17

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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.