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Finding the Fourth Proportional to 12,335.49, 17,022.56 and 7,032.02

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Solution

The fourth proportional to 12,335.49, 17,022.56 and 7,032.02 is: 9,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.49 : 17,022.56 = 7,032.02 : x
  2. Step 2: Convert to fraction form
    12,335.49/17,022.56 = 7,032.02/x
  3. Step 3: Cross multiply
    12,335.49x = 17,022.56 × 7,032.02
  4. Step 4: Simplify right side
    12,335.49x = 119,702,862.10
  5. Step 5: Solve for x
    x = 119,702,862.10/12,335.49
  6. Step 6: Final answer
    x = 9,703.94

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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.