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Finding the Fourth Proportional to 13,032.82, 17,985.32 and 7,064.48

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Solution

The fourth proportional to 13,032.82, 17,985.32 and 7,064.48 is: 9,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.82 : 17,985.32 = 7,064.48 : x
  2. Step 2: Convert to fraction form
    13,032.82/17,985.32 = 7,064.48/x
  3. Step 3: Cross multiply
    13,032.82x = 17,985.32 × 7,064.48
  4. Step 4: Simplify right side
    13,032.82x = 127,056,933.43
  5. Step 5: Solve for x
    x = 127,056,933.43/13,032.82
  6. Step 6: Final answer
    x = 9,749.00

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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.