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Finding the Fourth Proportional to 22,803.29, 34,210.26 and 7,810.57

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Solution

The fourth proportional to 22,803.29, 34,210.26 and 7,810.57 is: 11,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.29 : 34,210.26 = 7,810.57 : x
  2. Step 2: Convert to fraction form
    22,803.29/34,210.26 = 7,810.57/x
  3. Step 3: Cross multiply
    22,803.29x = 34,210.26 × 7,810.57
  4. Step 4: Simplify right side
    22,803.29x = 267,201,729.45
  5. Step 5: Solve for x
    x = 267,201,729.45/22,803.29
  6. Step 6: Final answer
    x = 11,717.68

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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.