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Finding the Fourth Proportional to 14,441.32, 21,652.38 and 5,206.12

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Solution

The fourth proportional to 14,441.32, 21,652.38 and 5,206.12 is: 7,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.32 : 21,652.38 = 5,206.12 : x
  2. Step 2: Convert to fraction form
    14,441.32/21,652.38 = 5,206.12/x
  3. Step 3: Cross multiply
    14,441.32x = 21,652.38 × 5,206.12
  4. Step 4: Simplify right side
    14,441.32x = 112,724,888.57
  5. Step 5: Solve for x
    x = 112,724,888.57/14,441.32
  6. Step 6: Final answer
    x = 7,805.72

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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.