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Finding the Fourth Proportional to 15,423.31, 21,284.14 and 8,349.76

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Solution

The fourth proportional to 15,423.31, 21,284.14 and 8,349.76 is: 11,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.31 : 21,284.14 = 8,349.76 : x
  2. Step 2: Convert to fraction form
    15,423.31/21,284.14 = 8,349.76/x
  3. Step 3: Cross multiply
    15,423.31x = 21,284.14 × 8,349.76
  4. Step 4: Simplify right side
    15,423.31x = 177,717,460.81
  5. Step 5: Solve for x
    x = 177,717,460.81/15,423.31
  6. Step 6: Final answer
    x = 11,522.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.