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Finding the Fourth Proportional to 15,397.70, 23,043.08 and 9,471.94

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Solution

The fourth proportional to 15,397.70, 23,043.08 and 9,471.94 is: 14,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397.70 : 23,043.08 = 9,471.94 : x
  2. Step 2: Convert to fraction form
    15,397.70/23,043.08 = 9,471.94/x
  3. Step 3: Cross multiply
    15,397.70x = 23,043.08 × 9,471.94
  4. Step 4: Simplify right side
    15,397.70x = 218,262,637.25
  5. Step 5: Solve for x
    x = 218,262,637.25/15,397.70
  6. Step 6: Final answer
    x = 14,175.02

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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.