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Finding the Fourth Proportional to 14,261.87, 21,387.34 and 9,866.00

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Solution

The fourth proportional to 14,261.87, 21,387.34 and 9,866.00 is: 14,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.87 : 21,387.34 = 9,866.00 : x
  2. Step 2: Convert to fraction form
    14,261.87/21,387.34 = 9,866.00/x
  3. Step 3: Cross multiply
    14,261.87x = 21,387.34 × 9,866.00
  4. Step 4: Simplify right side
    14,261.87x = 211,007,562.24
  5. Step 5: Solve for x
    x = 211,007,562.24/14,261.87
  6. Step 6: Final answer
    x = 14,795.22

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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.