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Finding the Fourth Proportional to 15,258.76, 22,896.78 and 6,492.76

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Solution

The fourth proportional to 15,258.76, 22,896.78 and 6,492.76 is: 9,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.76 : 22,896.78 = 6,492.76 : x
  2. Step 2: Convert to fraction form
    15,258.76/22,896.78 = 6,492.76/x
  3. Step 3: Cross multiply
    15,258.76x = 22,896.78 × 6,492.76
  4. Step 4: Simplify right side
    15,258.76x = 148,663,297.31
  5. Step 5: Solve for x
    x = 148,663,297.31/15,258.76
  6. Step 6: Final answer
    x = 9,742.82

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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.