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Finding the Fourth Proportional to 15,536.81, 23,306.74 and 4,443.86

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Solution

The fourth proportional to 15,536.81, 23,306.74 and 4,443.86 is: 6,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.81 : 23,306.74 = 4,443.86 : x
  2. Step 2: Convert to fraction form
    15,536.81/23,306.74 = 4,443.86/x
  3. Step 3: Cross multiply
    15,536.81x = 23,306.74 × 4,443.86
  4. Step 4: Simplify right side
    15,536.81x = 103,571,936.77
  5. Step 5: Solve for x
    x = 103,571,936.77/15,536.81
  6. Step 6: Final answer
    x = 6,666.23

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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.