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Finding the Fourth Proportional to 14,237.64, 19,644.95 and 8,266.23

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Solution

The fourth proportional to 14,237.64, 19,644.95 and 8,266.23 is: 11,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.64 : 19,644.95 = 8,266.23 : x
  2. Step 2: Convert to fraction form
    14,237.64/19,644.95 = 8,266.23/x
  3. Step 3: Cross multiply
    14,237.64x = 19,644.95 × 8,266.23
  4. Step 4: Simplify right side
    14,237.64x = 162,389,633.71
  5. Step 5: Solve for x
    x = 162,389,633.71/14,237.64
  6. Step 6: Final answer
    x = 11,405.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.