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Finding the Fourth Proportional to 23,622.84, 35,438.60 and 9,772.92

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Solution

The fourth proportional to 23,622.84, 35,438.60 and 9,772.92 is: 14,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.84 : 35,438.60 = 9,772.92 : x
  2. Step 2: Convert to fraction form
    23,622.84/35,438.60 = 9,772.92/x
  3. Step 3: Cross multiply
    23,622.84x = 35,438.60 × 9,772.92
  4. Step 4: Simplify right side
    23,622.84x = 346,338,602.71
  5. Step 5: Solve for x
    x = 346,338,602.71/23,622.84
  6. Step 6: Final answer
    x = 14,661.18

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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.