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Finding the Fourth Proportional to 15,966.32, 23,967.09 and 9,309.94

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Solution

The fourth proportional to 15,966.32, 23,967.09 and 9,309.94 is: 13,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.32 : 23,967.09 = 9,309.94 : x
  2. Step 2: Convert to fraction form
    15,966.32/23,967.09 = 9,309.94/x
  3. Step 3: Cross multiply
    15,966.32x = 23,967.09 × 9,309.94
  4. Step 4: Simplify right side
    15,966.32x = 223,132,109.96
  5. Step 5: Solve for x
    x = 223,132,109.96/15,966.32
  6. Step 6: Final answer
    x = 13,975.18

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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.