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Finding the Fourth Proportional to 15,094.16, 22,608.44 and 9,233.04

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Solution

The fourth proportional to 15,094.16, 22,608.44 and 9,233.04 is: 13,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.16 : 22,608.44 = 9,233.04 : x
  2. Step 2: Convert to fraction form
    15,094.16/22,608.44 = 9,233.04/x
  3. Step 3: Cross multiply
    15,094.16x = 22,608.44 × 9,233.04
  4. Step 4: Simplify right side
    15,094.16x = 208,744,630.86
  5. Step 5: Solve for x
    x = 208,744,630.86/15,094.16
  6. Step 6: Final answer
    x = 13,829.50

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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.