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Finding the Fourth Proportional to 14,295.12, 21,405.75 and 9,866.45

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Solution

The fourth proportional to 14,295.12, 21,405.75 and 9,866.45 is: 14,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.12 : 21,405.75 = 9,866.45 : x
  2. Step 2: Convert to fraction form
    14,295.12/21,405.75 = 9,866.45/x
  3. Step 3: Cross multiply
    14,295.12x = 21,405.75 × 9,866.45
  4. Step 4: Simplify right side
    14,295.12x = 211,198,655.06
  5. Step 5: Solve for x
    x = 211,198,655.06/14,295.12
  6. Step 6: Final answer
    x = 14,774.18

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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.