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Finding the Fourth Proportional to 14,237.83, 19,648.22 and 7,950.20

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Solution

The fourth proportional to 14,237.83, 19,648.22 and 7,950.20 is: 10,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.83 : 19,648.22 = 7,950.20 : x
  2. Step 2: Convert to fraction form
    14,237.83/19,648.22 = 7,950.20/x
  3. Step 3: Cross multiply
    14,237.83x = 19,648.22 × 7,950.20
  4. Step 4: Simplify right side
    14,237.83x = 156,207,278.64
  5. Step 5: Solve for x
    x = 156,207,278.64/14,237.83
  6. Step 6: Final answer
    x = 10,971.28

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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.