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Finding the Fourth Proportional to 23,155.56, 34,726.02 and 8,362.50

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Solution

The fourth proportional to 23,155.56, 34,726.02 and 8,362.50 is: 12,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155.56 : 34,726.02 = 8,362.50 : x
  2. Step 2: Convert to fraction form
    23,155.56/34,726.02 = 8,362.50/x
  3. Step 3: Cross multiply
    23,155.56x = 34,726.02 × 8,362.50
  4. Step 4: Simplify right side
    23,155.56x = 290,396,342.25
  5. Step 5: Solve for x
    x = 290,396,342.25/23,155.56
  6. Step 6: Final answer
    x = 12,541.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.