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Finding the Fourth Proportional to 12,722.32, 17,558.43 and 7,417.18

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Solution

The fourth proportional to 12,722.32, 17,558.43 and 7,417.18 is: 10,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.32 : 17,558.43 = 7,417.18 : x
  2. Step 2: Convert to fraction form
    12,722.32/17,558.43 = 7,417.18/x
  3. Step 3: Cross multiply
    12,722.32x = 17,558.43 × 7,417.18
  4. Step 4: Simplify right side
    12,722.32x = 130,234,035.83
  5. Step 5: Solve for x
    x = 130,234,035.83/12,722.32
  6. Step 6: Final answer
    x = 10,236.66

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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.