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Finding the Fourth Proportional to 23,230.72, 32,071.68 and 15,296

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Solution

The fourth proportional to 23,230.72, 32,071.68 and 15,296 is: 21,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.72 : 32,071.68 = 15,296 : x
  2. Step 2: Convert to fraction form
    23,230.72/32,071.68 = 15,296/x
  3. Step 3: Cross multiply
    23,230.72x = 32,071.68 × 15,296
  4. Step 4: Simplify right side
    23,230.72x = 490,568,417.28
  5. Step 5: Solve for x
    x = 490,568,417.28/23,230.72
  6. Step 6: Final answer
    x = 21,117.23

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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.