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Finding the Fourth Proportional to 15,106.42, 22,659.54 and 5,872.42

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Solution

The fourth proportional to 15,106.42, 22,659.54 and 5,872.42 is: 8,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.42 : 22,659.54 = 5,872.42 : x
  2. Step 2: Convert to fraction form
    15,106.42/22,659.54 = 5,872.42/x
  3. Step 3: Cross multiply
    15,106.42x = 22,659.54 × 5,872.42
  4. Step 4: Simplify right side
    15,106.42x = 133,066,335.89
  5. Step 5: Solve for x
    x = 133,066,335.89/15,106.42
  6. Step 6: Final answer
    x = 8,808.60

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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.