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Finding the Fourth Proportional to 23,143.84, 34,711.56 and 6,499.76

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Solution

The fourth proportional to 23,143.84, 34,711.56 and 6,499.76 is: 9,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.84 : 34,711.56 = 6,499.76 : x
  2. Step 2: Convert to fraction form
    23,143.84/34,711.56 = 6,499.76/x
  3. Step 3: Cross multiply
    23,143.84x = 34,711.56 × 6,499.76
  4. Step 4: Simplify right side
    23,143.84x = 225,616,809.23
  5. Step 5: Solve for x
    x = 225,616,809.23/23,143.84
  6. Step 6: Final answer
    x = 9,748.46

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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.