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Finding the Fourth Proportional to 14,551.60, 21,821.80 and 6,226.32

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Solution

The fourth proportional to 14,551.60, 21,821.80 and 6,226.32 is: 9,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.60 : 21,821.80 = 6,226.32 : x
  2. Step 2: Convert to fraction form
    14,551.60/21,821.80 = 6,226.32/x
  3. Step 3: Cross multiply
    14,551.60x = 21,821.80 × 6,226.32
  4. Step 4: Simplify right side
    14,551.60x = 135,869,509.78
  5. Step 5: Solve for x
    x = 135,869,509.78/14,551.60
  6. Step 6: Final answer
    x = 9,337.08

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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.