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Finding the Fourth Proportional to 13,032.33, 17,984.61 and 7,064

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Solution

The fourth proportional to 13,032.33, 17,984.61 and 7,064 is: 9,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.33 : 17,984.61 = 7,064 : x
  2. Step 2: Convert to fraction form
    13,032.33/17,984.61 = 7,064/x
  3. Step 3: Cross multiply
    13,032.33x = 17,984.61 × 7,064
  4. Step 4: Simplify right side
    13,032.33x = 127,043,285.04
  5. Step 5: Solve for x
    x = 127,043,285.04/13,032.33
  6. Step 6: Final answer
    x = 9,748.32

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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.