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Finding the Fourth Proportional to 15,491.19, 23,223.71 and 6,719.49

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Solution

The fourth proportional to 15,491.19, 23,223.71 and 6,719.49 is: 10,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.19 : 23,223.71 = 6,719.49 : x
  2. Step 2: Convert to fraction form
    15,491.19/23,223.71 = 6,719.49/x
  3. Step 3: Cross multiply
    15,491.19x = 23,223.71 × 6,719.49
  4. Step 4: Simplify right side
    15,491.19x = 156,051,487.11
  5. Step 5: Solve for x
    x = 156,051,487.11/15,491.19
  6. Step 6: Final answer
    x = 10,073.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.