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Finding the Fourth Proportional to 15,930.51, 23,899.83 and 9,362.22

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Solution

The fourth proportional to 15,930.51, 23,899.83 and 9,362.22 is: 14,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.51 : 23,899.83 = 9,362.22 : x
  2. Step 2: Convert to fraction form
    15,930.51/23,899.83 = 9,362.22/x
  3. Step 3: Cross multiply
    15,930.51x = 23,899.83 × 9,362.22
  4. Step 4: Simplify right side
    15,930.51x = 223,755,466.42
  5. Step 5: Solve for x
    x = 223,755,466.42/15,930.51
  6. Step 6: Final answer
    x = 14,045.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.