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Finding the Fourth Proportional to 13,032, 19,534.68 and 5,641.20

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Solution

The fourth proportional to 13,032, 19,534.68 and 5,641.20 is: 8,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032 : 19,534.68 = 5,641.20 : x
  2. Step 2: Convert to fraction form
    13,032/19,534.68 = 5,641.20/x
  3. Step 3: Cross multiply
    13,032x = 19,534.68 × 5,641.20
  4. Step 4: Simplify right side
    13,032x = 110,199,036.82
  5. Step 5: Solve for x
    x = 110,199,036.82/13,032
  6. Step 6: Final answer
    x = 8,456.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.