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Finding the Fourth Proportional to 23,510.34, 35,265.47 and 7,726.41

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Solution

The fourth proportional to 23,510.34, 35,265.47 and 7,726.41 is: 11,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510.34 : 35,265.47 = 7,726.41 : x
  2. Step 2: Convert to fraction form
    23,510.34/35,265.47 = 7,726.41/x
  3. Step 3: Cross multiply
    23,510.34x = 35,265.47 × 7,726.41
  4. Step 4: Simplify right side
    23,510.34x = 272,475,441.43
  5. Step 5: Solve for x
    x = 272,475,441.43/23,510.34
  6. Step 6: Final answer
    x = 11,589.60

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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.