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Finding the Fourth Proportional to 15,966.15, 23,975.91 and 9,976.17

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Solution

The fourth proportional to 15,966.15, 23,975.91 and 9,976.17 is: 14,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.15 : 23,975.91 = 9,976.17 : x
  2. Step 2: Convert to fraction form
    15,966.15/23,975.91 = 9,976.17/x
  3. Step 3: Cross multiply
    15,966.15x = 23,975.91 × 9,976.17
  4. Step 4: Simplify right side
    15,966.15x = 239,187,754.06
  5. Step 5: Solve for x
    x = 239,187,754.06/15,966.15
  6. Step 6: Final answer
    x = 14,980.93

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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.