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Finding the Fourth Proportional to 12,338.46, 17,026.07 and 7,032.29

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Solution

The fourth proportional to 12,338.46, 17,026.07 and 7,032.29 is: 9,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.46 : 17,026.07 = 7,032.29 : x
  2. Step 2: Convert to fraction form
    12,338.46/17,026.07 = 7,032.29/x
  3. Step 3: Cross multiply
    12,338.46x = 17,026.07 × 7,032.29
  4. Step 4: Simplify right side
    12,338.46x = 119,732,141.51
  5. Step 5: Solve for x
    x = 119,732,141.51/12,338.46
  6. Step 6: Final answer
    x = 9,703.98

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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.