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Finding the Fourth Proportional to 13,327.66, 19,988 and 3,965.16

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Solution

The fourth proportional to 13,327.66, 19,988 and 3,965.16 is: 5,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.66 : 19,988 = 3,965.16 : x
  2. Step 2: Convert to fraction form
    13,327.66/19,988 = 3,965.16/x
  3. Step 3: Cross multiply
    13,327.66x = 19,988 × 3,965.16
  4. Step 4: Simplify right side
    13,327.66x = 79,255,618.08
  5. Step 5: Solve for x
    x = 79,255,618.08/13,327.66
  6. Step 6: Final answer
    x = 5,946.70

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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.