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Finding the Fourth Proportional to 23,705.63, 35,568.01 and 10,549.00

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Solution

The fourth proportional to 23,705.63, 35,568.01 and 10,549.00 is: 15,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.63 : 35,568.01 = 10,549.00 : x
  2. Step 2: Convert to fraction form
    23,705.63/35,568.01 = 10,549.00/x
  3. Step 3: Cross multiply
    23,705.63x = 35,568.01 × 10,549.00
  4. Step 4: Simplify right side
    23,705.63x = 375,206,995.14
  5. Step 5: Solve for x
    x = 375,206,995.14/23,705.63
  6. Step 6: Final answer
    x = 15,827.76

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Why These Related Problems?

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