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Finding the Fourth Proportional to 23,141.88, 34,707.41 and 6,503.51

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Solution

The fourth proportional to 23,141.88, 34,707.41 and 6,503.51 is: 9,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.88 : 34,707.41 = 6,503.51 : x
  2. Step 2: Convert to fraction form
    23,141.88/34,707.41 = 6,503.51/x
  3. Step 3: Cross multiply
    23,141.88x = 34,707.41 × 6,503.51
  4. Step 4: Simplify right side
    23,141.88x = 225,720,066.65
  5. Step 5: Solve for x
    x = 225,720,066.65/23,141.88
  6. Step 6: Final answer
    x = 9,753.75

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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.