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Finding the Fourth Proportional to 12,881.40, 19,322.98 and 4,116.98

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Solution

The fourth proportional to 12,881.40, 19,322.98 and 4,116.98 is: 6,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.40 : 19,322.98 = 4,116.98 : x
  2. Step 2: Convert to fraction form
    12,881.40/19,322.98 = 4,116.98/x
  3. Step 3: Cross multiply
    12,881.40x = 19,322.98 × 4,116.98
  4. Step 4: Simplify right side
    12,881.40x = 79,552,322.20
  5. Step 5: Solve for x
    x = 79,552,322.20/12,881.40
  6. Step 6: Final answer
    x = 6,175.75

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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.