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Finding the Fourth Proportional to 15,853.70, 23,783.29 and 5,324.74

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Solution

The fourth proportional to 15,853.70, 23,783.29 and 5,324.74 is: 7,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.70 : 23,783.29 = 5,324.74 : x
  2. Step 2: Convert to fraction form
    15,853.70/23,783.29 = 5,324.74/x
  3. Step 3: Cross multiply
    15,853.70x = 23,783.29 × 5,324.74
  4. Step 4: Simplify right side
    15,853.70x = 126,639,762.82
  5. Step 5: Solve for x
    x = 126,639,762.82/15,853.70
  6. Step 6: Final answer
    x = 7,988.02

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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.