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Finding the Fourth Proportional to 12,302.74, 18,444.54 and 5,728.06

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Solution

The fourth proportional to 12,302.74, 18,444.54 and 5,728.06 is: 8,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.74 : 18,444.54 = 5,728.06 : x
  2. Step 2: Convert to fraction form
    12,302.74/18,444.54 = 5,728.06/x
  3. Step 3: Cross multiply
    12,302.74x = 18,444.54 × 5,728.06
  4. Step 4: Simplify right side
    12,302.74x = 105,651,431.79
  5. Step 5: Solve for x
    x = 105,651,431.79/12,302.74
  6. Step 6: Final answer
    x = 8,587.63

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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.