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Finding the Fourth Proportional to 23,141.83, 34,707.33 and 6,503.45

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Solution

The fourth proportional to 23,141.83, 34,707.33 and 6,503.45 is: 9,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.83 : 34,707.33 = 6,503.45 : x
  2. Step 2: Convert to fraction form
    23,141.83/34,707.33 = 6,503.45/x
  3. Step 3: Cross multiply
    23,141.83x = 34,707.33 × 6,503.45
  4. Step 4: Simplify right side
    23,141.83x = 225,717,352.77
  5. Step 5: Solve for x
    x = 225,717,352.77/23,141.83
  6. Step 6: Final answer
    x = 9,753.65

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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.