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Finding the Fourth Proportional to 14,774.92, 22,162.32 and 6,009.76

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Solution

The fourth proportional to 14,774.92, 22,162.32 and 6,009.76 is: 9,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.92 : 22,162.32 = 6,009.76 : x
  2. Step 2: Convert to fraction form
    14,774.92/22,162.32 = 6,009.76/x
  3. Step 3: Cross multiply
    14,774.92x = 22,162.32 × 6,009.76
  4. Step 4: Simplify right side
    14,774.92x = 133,190,224.24
  5. Step 5: Solve for x
    x = 133,190,224.24/14,774.92
  6. Step 6: Final answer
    x = 9,014.62

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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.