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Finding the Fourth Proportional to 15,677.44, 23,516.16 and 7,444.48

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Solution

The fourth proportional to 15,677.44, 23,516.16 and 7,444.48 is: 11,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.44 : 23,516.16 = 7,444.48 : x
  2. Step 2: Convert to fraction form
    15,677.44/23,516.16 = 7,444.48/x
  3. Step 3: Cross multiply
    15,677.44x = 23,516.16 × 7,444.48
  4. Step 4: Simplify right side
    15,677.44x = 175,065,582.80
  5. Step 5: Solve for x
    x = 175,065,582.80/15,677.44
  6. Step 6: Final answer
    x = 11,166.72

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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.