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Finding the Fourth Proportional to 14,238.76, 19,647.66 and 7,951.40

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Solution

The fourth proportional to 14,238.76, 19,647.66 and 7,951.40 is: 10,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.76 : 19,647.66 = 7,951.40 : x
  2. Step 2: Convert to fraction form
    14,238.76/19,647.66 = 7,951.40/x
  3. Step 3: Cross multiply
    14,238.76x = 19,647.66 × 7,951.40
  4. Step 4: Simplify right side
    14,238.76x = 156,226,403.72
  5. Step 5: Solve for x
    x = 156,226,403.72/14,238.76
  6. Step 6: Final answer
    x = 10,971.91

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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.