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Finding the Fourth Proportional to 15,338.64, 22,994.40 and 9,083.28

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Solution

The fourth proportional to 15,338.64, 22,994.40 and 9,083.28 is: 13,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.64 : 22,994.40 = 9,083.28 : x
  2. Step 2: Convert to fraction form
    15,338.64/22,994.40 = 9,083.28/x
  3. Step 3: Cross multiply
    15,338.64x = 22,994.40 × 9,083.28
  4. Step 4: Simplify right side
    15,338.64x = 208,864,573.63
  5. Step 5: Solve for x
    x = 208,864,573.63/15,338.64
  6. Step 6: Final answer
    x = 13,616.89

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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.