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Finding the Fourth Proportional to 15,827.26, 23,742.72 and 7,061.08

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Solution

The fourth proportional to 15,827.26, 23,742.72 and 7,061.08 is: 10,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.26 : 23,742.72 = 7,061.08 : x
  2. Step 2: Convert to fraction form
    15,827.26/23,742.72 = 7,061.08/x
  3. Step 3: Cross multiply
    15,827.26x = 23,742.72 × 7,061.08
  4. Step 4: Simplify right side
    15,827.26x = 167,649,245.34
  5. Step 5: Solve for x
    x = 167,649,245.34/15,827.26
  6. Step 6: Final answer
    x = 10,592.44

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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.