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Finding the Fourth Proportional to 14,443.08, 21,669.44 and 6,646

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Solution

The fourth proportional to 14,443.08, 21,669.44 and 6,646 is: 9,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.08 : 21,669.44 = 6,646 : x
  2. Step 2: Convert to fraction form
    14,443.08/21,669.44 = 6,646/x
  3. Step 3: Cross multiply
    14,443.08x = 21,669.44 × 6,646
  4. Step 4: Simplify right side
    14,443.08x = 144,015,098.24
  5. Step 5: Solve for x
    x = 144,015,098.24/14,443.08
  6. Step 6: Final answer
    x = 9,971.22

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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.