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Finding the Fourth Proportional to 15,176.42, 22,774.86 and 5,315.78

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Solution

The fourth proportional to 15,176.42, 22,774.86 and 5,315.78 is: 7,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.42 : 22,774.86 = 5,315.78 : x
  2. Step 2: Convert to fraction form
    15,176.42/22,774.86 = 5,315.78/x
  3. Step 3: Cross multiply
    15,176.42x = 22,774.86 × 5,315.78
  4. Step 4: Simplify right side
    15,176.42x = 121,066,031.42
  5. Step 5: Solve for x
    x = 121,066,031.42/15,176.42
  6. Step 6: Final answer
    x = 7,977.25

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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.