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Finding the Fourth Proportional to 21,393.29, 32,105.70 and 10,148.66

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Solution

The fourth proportional to 21,393.29, 32,105.70 and 10,148.66 is: 15,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.29 : 32,105.70 = 10,148.66 : x
  2. Step 2: Convert to fraction form
    21,393.29/32,105.70 = 10,148.66/x
  3. Step 3: Cross multiply
    21,393.29x = 32,105.70 × 10,148.66
  4. Step 4: Simplify right side
    21,393.29x = 325,829,900.94
  5. Step 5: Solve for x
    x = 325,829,900.94/21,393.29
  6. Step 6: Final answer
    x = 15,230.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.