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Finding the Fourth Proportional to 14,421.20, 21,631.71 and 7,760.83

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Solution

The fourth proportional to 14,421.20, 21,631.71 and 7,760.83 is: 11,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.20 : 21,631.71 = 7,760.83 : x
  2. Step 2: Convert to fraction form
    14,421.20/21,631.71 = 7,760.83/x
  3. Step 3: Cross multiply
    14,421.20x = 21,631.71 × 7,760.83
  4. Step 4: Simplify right side
    14,421.20x = 167,880,087.11
  5. Step 5: Solve for x
    x = 167,880,087.11/14,421.20
  6. Step 6: Final answer
    x = 11,641.20

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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.