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Finding the Fourth Proportional to 13,032.54, 17,984.82 and 7,064.07

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Solution

The fourth proportional to 13,032.54, 17,984.82 and 7,064.07 is: 9,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.54 : 17,984.82 = 7,064.07 : x
  2. Step 2: Convert to fraction form
    13,032.54/17,984.82 = 7,064.07/x
  3. Step 3: Cross multiply
    13,032.54x = 17,984.82 × 7,064.07
  4. Step 4: Simplify right side
    13,032.54x = 127,046,027.42
  5. Step 5: Solve for x
    x = 127,046,027.42/13,032.54
  6. Step 6: Final answer
    x = 9,748.37

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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.