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Finding the Fourth Proportional to 14,346.15, 21,518.39 and 6,446.63

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Solution

The fourth proportional to 14,346.15, 21,518.39 and 6,446.63 is: 9,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.15 : 21,518.39 = 6,446.63 : x
  2. Step 2: Convert to fraction form
    14,346.15/21,518.39 = 6,446.63/x
  3. Step 3: Cross multiply
    14,346.15x = 21,518.39 × 6,446.63
  4. Step 4: Simplify right side
    14,346.15x = 138,721,098.53
  5. Step 5: Solve for x
    x = 138,721,098.53/14,346.15
  6. Step 6: Final answer
    x = 9,669.57

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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.