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Finding the Fourth Proportional to 23,256.16, 34,883.95 and 5,726.14

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Solution

The fourth proportional to 23,256.16, 34,883.95 and 5,726.14 is: 8,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.16 : 34,883.95 = 5,726.14 : x
  2. Step 2: Convert to fraction form
    23,256.16/34,883.95 = 5,726.14/x
  3. Step 3: Cross multiply
    23,256.16x = 34,883.95 × 5,726.14
  4. Step 4: Simplify right side
    23,256.16x = 199,750,381.45
  5. Step 5: Solve for x
    x = 199,750,381.45/23,256.16
  6. Step 6: Final answer
    x = 8,589.14

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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.