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Finding the Fourth Proportional to 12,931.79, 17,845.36 and 7,904.42

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Solution

The fourth proportional to 12,931.79, 17,845.36 and 7,904.42 is: 10,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.79 : 17,845.36 = 7,904.42 : x
  2. Step 2: Convert to fraction form
    12,931.79/17,845.36 = 7,904.42/x
  3. Step 3: Cross multiply
    12,931.79x = 17,845.36 × 7,904.42
  4. Step 4: Simplify right side
    12,931.79x = 141,057,220.49
  5. Step 5: Solve for x
    x = 141,057,220.49/12,931.79
  6. Step 6: Final answer
    x = 10,907.79

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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.