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Finding the Fourth Proportional to 16,009.63, 23,983.25 and 9,754.12

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Solution

The fourth proportional to 16,009.63, 23,983.25 and 9,754.12 is: 14,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.63 : 23,983.25 = 9,754.12 : x
  2. Step 2: Convert to fraction form
    16,009.63/23,983.25 = 9,754.12/x
  3. Step 3: Cross multiply
    16,009.63x = 23,983.25 × 9,754.12
  4. Step 4: Simplify right side
    16,009.63x = 233,935,389.76
  5. Step 5: Solve for x
    x = 233,935,389.76/16,009.63
  6. Step 6: Final answer
    x = 14,612.17

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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.