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Finding the Fourth Proportional to 14,405.72, 21,607.86 and 5,642.24

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Solution

The fourth proportional to 14,405.72, 21,607.86 and 5,642.24 is: 8,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.72 : 21,607.86 = 5,642.24 : x
  2. Step 2: Convert to fraction form
    14,405.72/21,607.86 = 5,642.24/x
  3. Step 3: Cross multiply
    14,405.72x = 21,607.86 × 5,642.24
  4. Step 4: Simplify right side
    14,405.72x = 121,916,732.01
  5. Step 5: Solve for x
    x = 121,916,732.01/14,405.72
  6. Step 6: Final answer
    x = 8,463.08

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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.