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Finding the Fourth Proportional to 13,681.64, 20,514.26 and 6,647.81

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Solution

The fourth proportional to 13,681.64, 20,514.26 and 6,647.81 is: 9,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.64 : 20,514.26 = 6,647.81 : x
  2. Step 2: Convert to fraction form
    13,681.64/20,514.26 = 6,647.81/x
  3. Step 3: Cross multiply
    13,681.64x = 20,514.26 × 6,647.81
  4. Step 4: Simplify right side
    13,681.64x = 136,374,816.82
  5. Step 5: Solve for x
    x = 136,374,816.82/13,681.64
  6. Step 6: Final answer
    x = 9,967.72

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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.