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Finding the Fourth Proportional to 23,772.61, 35,648.79 and 9,722.89

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Solution

The fourth proportional to 23,772.61, 35,648.79 and 9,722.89 is: 14,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.61 : 35,648.79 = 9,722.89 : x
  2. Step 2: Convert to fraction form
    23,772.61/35,648.79 = 9,722.89/x
  3. Step 3: Cross multiply
    23,772.61x = 35,648.79 × 9,722.89
  4. Step 4: Simplify right side
    23,772.61x = 346,609,263.80
  5. Step 5: Solve for x
    x = 346,609,263.80/23,772.61
  6. Step 6: Final answer
    x = 14,580.19

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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.