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Finding the Fourth Proportional to 14,401.32, 21,607.44 and 5,642.28

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Solution

The fourth proportional to 14,401.32, 21,607.44 and 5,642.28 is: 8,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.32 : 21,607.44 = 5,642.28 : x
  2. Step 2: Convert to fraction form
    14,401.32/21,607.44 = 5,642.28/x
  3. Step 3: Cross multiply
    14,401.32x = 21,607.44 × 5,642.28
  4. Step 4: Simplify right side
    14,401.32x = 121,915,226.56
  5. Step 5: Solve for x
    x = 121,915,226.56/14,401.32
  6. Step 6: Final answer
    x = 8,465.56

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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.