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Finding the Fourth Proportional to 14,823.80, 22,284.30 and 10,471.40

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Solution

The fourth proportional to 14,823.80, 22,284.30 and 10,471.40 is: 15,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.80 : 22,284.30 = 10,471.40 : x
  2. Step 2: Convert to fraction form
    14,823.80/22,284.30 = 10,471.40/x
  3. Step 3: Cross multiply
    14,823.80x = 22,284.30 × 10,471.40
  4. Step 4: Simplify right side
    14,823.80x = 233,347,819.02
  5. Step 5: Solve for x
    x = 233,347,819.02/14,823.80
  6. Step 6: Final answer
    x = 15,741.43

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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.