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Finding the Fourth Proportional to 23,677.68, 35,522.07 and 7,037.85

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Solution

The fourth proportional to 23,677.68, 35,522.07 and 7,037.85 is: 10,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.68 : 35,522.07 = 7,037.85 : x
  2. Step 2: Convert to fraction form
    23,677.68/35,522.07 = 7,037.85/x
  3. Step 3: Cross multiply
    23,677.68x = 35,522.07 × 7,037.85
  4. Step 4: Simplify right side
    23,677.68x = 249,998,822.74
  5. Step 5: Solve for x
    x = 249,998,822.74/23,677.68
  6. Step 6: Final answer
    x = 10,558.42

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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.