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Finding the Fourth Proportional to 12,698.30, 17,523.27 and 7,032.83

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Solution

The fourth proportional to 12,698.30, 17,523.27 and 7,032.83 is: 9,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.30 : 17,523.27 = 7,032.83 : x
  2. Step 2: Convert to fraction form
    12,698.30/17,523.27 = 7,032.83/x
  3. Step 3: Cross multiply
    12,698.30x = 17,523.27 × 7,032.83
  4. Step 4: Simplify right side
    12,698.30x = 123,238,091.34
  5. Step 5: Solve for x
    x = 123,238,091.34/12,698.30
  6. Step 6: Final answer
    x = 9,705.08

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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.