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Finding the Fourth Proportional to 22,583.68, 33,863.08 and 7,780.40

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Solution

The fourth proportional to 22,583.68, 33,863.08 and 7,780.40 is: 11,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.68 : 33,863.08 = 7,780.40 : x
  2. Step 2: Convert to fraction form
    22,583.68/33,863.08 = 7,780.40/x
  3. Step 3: Cross multiply
    22,583.68x = 33,863.08 × 7,780.40
  4. Step 4: Simplify right side
    22,583.68x = 263,468,307.63
  5. Step 5: Solve for x
    x = 263,468,307.63/22,583.68
  6. Step 6: Final answer
    x = 11,666.31

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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.