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Finding the Fourth Proportional to 15,883.84, 21,911.16 and 9,507.52

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Solution

The fourth proportional to 15,883.84, 21,911.16 and 9,507.52 is: 13,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.84 : 21,911.16 = 9,507.52 : x
  2. Step 2: Convert to fraction form
    15,883.84/21,911.16 = 9,507.52/x
  3. Step 3: Cross multiply
    15,883.84x = 21,911.16 × 9,507.52
  4. Step 4: Simplify right side
    15,883.84x = 208,320,791.92
  5. Step 5: Solve for x
    x = 208,320,791.92/15,883.84
  6. Step 6: Final answer
    x = 13,115.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.