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Finding the Fourth Proportional to 13,032.89, 17,985.32 and 7,064.54

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Solution

The fourth proportional to 13,032.89, 17,985.32 and 7,064.54 is: 9,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.89 : 17,985.32 = 7,064.54 : x
  2. Step 2: Convert to fraction form
    13,032.89/17,985.32 = 7,064.54/x
  3. Step 3: Cross multiply
    13,032.89x = 17,985.32 × 7,064.54
  4. Step 4: Simplify right side
    13,032.89x = 127,058,012.55
  5. Step 5: Solve for x
    x = 127,058,012.55/13,032.89
  6. Step 6: Final answer
    x = 9,749.03

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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.