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Finding the Fourth Proportional to 14,237.76, 19,648.80 and 7,950

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Solution

The fourth proportional to 14,237.76, 19,648.80 and 7,950 is: 10,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.76 : 19,648.80 = 7,950 : x
  2. Step 2: Convert to fraction form
    14,237.76/19,648.80 = 7,950/x
  3. Step 3: Cross multiply
    14,237.76x = 19,648.80 × 7,950
  4. Step 4: Simplify right side
    14,237.76x = 156,207,960
  5. Step 5: Solve for x
    x = 156,207,960/14,237.76
  6. Step 6: Final answer
    x = 10,971.39

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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.