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Finding the Fourth Proportional to 14,574.84, 21,856.90 and 5,212.32

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Solution

The fourth proportional to 14,574.84, 21,856.90 and 5,212.32 is: 7,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.84 : 21,856.90 = 5,212.32 : x
  2. Step 2: Convert to fraction form
    14,574.84/21,856.90 = 5,212.32/x
  3. Step 3: Cross multiply
    14,574.84x = 21,856.90 × 5,212.32
  4. Step 4: Simplify right side
    14,574.84x = 113,925,157.01
  5. Step 5: Solve for x
    x = 113,925,157.01/14,574.84
  6. Step 6: Final answer
    x = 7,816.56

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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.