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Finding the Fourth Proportional to 15,536.22, 23,305.86 and 5,006.46

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Solution

The fourth proportional to 15,536.22, 23,305.86 and 5,006.46 is: 7,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.22 : 23,305.86 = 5,006.46 : x
  2. Step 2: Convert to fraction form
    15,536.22/23,305.86 = 5,006.46/x
  3. Step 3: Cross multiply
    15,536.22x = 23,305.86 × 5,006.46
  4. Step 4: Simplify right side
    15,536.22x = 116,679,855.86
  5. Step 5: Solve for x
    x = 116,679,855.86/15,536.22
  6. Step 6: Final answer
    x = 7,510.18

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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.