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Finding the Fourth Proportional to 14,344.32, 19,795.60 and 7,971.20

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Solution

The fourth proportional to 14,344.32, 19,795.60 and 7,971.20 is: 11,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.32 : 19,795.60 = 7,971.20 : x
  2. Step 2: Convert to fraction form
    14,344.32/19,795.60 = 7,971.20/x
  3. Step 3: Cross multiply
    14,344.32x = 19,795.60 × 7,971.20
  4. Step 4: Simplify right side
    14,344.32x = 157,794,686.72
  5. Step 5: Solve for x
    x = 157,794,686.72/14,344.32
  6. Step 6: Final answer
    x = 11,000.50

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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.