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Finding the Fourth Proportional to 15,972.98, 23,958.65 and 6,111.50

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Solution

The fourth proportional to 15,972.98, 23,958.65 and 6,111.50 is: 9,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.98 : 23,958.65 = 6,111.50 : x
  2. Step 2: Convert to fraction form
    15,972.98/23,958.65 = 6,111.50/x
  3. Step 3: Cross multiply
    15,972.98x = 23,958.65 × 6,111.50
  4. Step 4: Simplify right side
    15,972.98x = 146,423,184.96
  5. Step 5: Solve for x
    x = 146,423,184.96/15,972.98
  6. Step 6: Final answer
    x = 9,166.93

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