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Finding the Fourth Proportional to 14,214.80, 21,322.20 and 7,644.08

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Solution

The fourth proportional to 14,214.80, 21,322.20 and 7,644.08 is: 11,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.80 : 21,322.20 = 7,644.08 : x
  2. Step 2: Convert to fraction form
    14,214.80/21,322.20 = 7,644.08/x
  3. Step 3: Cross multiply
    14,214.80x = 21,322.20 × 7,644.08
  4. Step 4: Simplify right side
    14,214.80x = 162,988,602.58
  5. Step 5: Solve for x
    x = 162,988,602.58/14,214.80
  6. Step 6: Final answer
    x = 11,466.12

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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.