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Finding the Fourth Proportional to 15,176.76, 20,944 and 8,462.67

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Solution

The fourth proportional to 15,176.76, 20,944 and 8,462.67 is: 11,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.76 : 20,944 = 8,462.67 : x
  2. Step 2: Convert to fraction form
    15,176.76/20,944 = 8,462.67/x
  3. Step 3: Cross multiply
    15,176.76x = 20,944 × 8,462.67
  4. Step 4: Simplify right side
    15,176.76x = 177,242,055.76
  5. Step 5: Solve for x
    x = 177,242,055.76/15,176.76
  6. Step 6: Final answer
    x = 11,678.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.