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Finding the Fourth Proportional to 23,226.62, 32,057.80 and 14,281.80

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Solution

The fourth proportional to 23,226.62, 32,057.80 and 14,281.80 is: 19,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.62 : 32,057.80 = 14,281.80 : x
  2. Step 2: Convert to fraction form
    23,226.62/32,057.80 = 14,281.80/x
  3. Step 3: Cross multiply
    23,226.62x = 32,057.80 × 14,281.80
  4. Step 4: Simplify right side
    23,226.62x = 457,843,088.04
  5. Step 5: Solve for x
    x = 457,843,088.04/23,226.62
  6. Step 6: Final answer
    x = 19,712.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.