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Finding the Fourth Proportional to 15,116.42, 22,674 and 4,586.06

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Solution

The fourth proportional to 15,116.42, 22,674 and 4,586.06 is: 6,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.42 : 22,674 = 4,586.06 : x
  2. Step 2: Convert to fraction form
    15,116.42/22,674 = 4,586.06/x
  3. Step 3: Cross multiply
    15,116.42x = 22,674 × 4,586.06
  4. Step 4: Simplify right side
    15,116.42x = 103,984,324.44
  5. Step 5: Solve for x
    x = 103,984,324.44/15,116.42
  6. Step 6: Final answer
    x = 6,878.90

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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.