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Finding the Fourth Proportional to 15,257.76, 22,895.28 and 6,491.76

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Solution

The fourth proportional to 15,257.76, 22,895.28 and 6,491.76 is: 9,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.76 : 22,895.28 = 6,491.76 : x
  2. Step 2: Convert to fraction form
    15,257.76/22,895.28 = 6,491.76/x
  3. Step 3: Cross multiply
    15,257.76x = 22,895.28 × 6,491.76
  4. Step 4: Simplify right side
    15,257.76x = 148,630,662.89
  5. Step 5: Solve for x
    x = 148,630,662.89/15,257.76
  6. Step 6: Final answer
    x = 9,741.32

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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.