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Finding the Fourth Proportional to 12,814.64, 17,684.32 and 7,149.84

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Solution

The fourth proportional to 12,814.64, 17,684.32 and 7,149.84 is: 9,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.64 : 17,684.32 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    12,814.64/17,684.32 = 7,149.84/x
  3. Step 3: Cross multiply
    12,814.64x = 17,684.32 × 7,149.84
  4. Step 4: Simplify right side
    12,814.64x = 126,440,058.51
  5. Step 5: Solve for x
    x = 126,440,058.51/12,814.64
  6. Step 6: Final answer
    x = 9,866.84

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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.