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Finding the Fourth Proportional to 14,577.14, 21,858.71 and 6,677.21

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Solution

The fourth proportional to 14,577.14, 21,858.71 and 6,677.21 is: 10,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.14 : 21,858.71 = 6,677.21 : x
  2. Step 2: Convert to fraction form
    14,577.14/21,858.71 = 6,677.21/x
  3. Step 3: Cross multiply
    14,577.14x = 21,858.71 × 6,677.21
  4. Step 4: Simplify right side
    14,577.14x = 145,955,054.32
  5. Step 5: Solve for x
    x = 145,955,054.32/14,577.14
  6. Step 6: Final answer
    x = 10,012.60

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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.