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Finding the Fourth Proportional to 15,822.40, 21,834.40 and 8,748.48

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Solution

The fourth proportional to 15,822.40, 21,834.40 and 8,748.48 is: 12,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.40 : 21,834.40 = 8,748.48 : x
  2. Step 2: Convert to fraction form
    15,822.40/21,834.40 = 8,748.48/x
  3. Step 3: Cross multiply
    15,822.40x = 21,834.40 × 8,748.48
  4. Step 4: Simplify right side
    15,822.40x = 191,017,811.71
  5. Step 5: Solve for x
    x = 191,017,811.71/15,822.40
  6. Step 6: Final answer
    x = 12,072.62

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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.