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Finding the Fourth Proportional to 21,807.24, 32,706 and 10,114.08

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Solution

The fourth proportional to 21,807.24, 32,706 and 10,114.08 is: 15,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.24 : 32,706 = 10,114.08 : x
  2. Step 2: Convert to fraction form
    21,807.24/32,706 = 10,114.08/x
  3. Step 3: Cross multiply
    21,807.24x = 32,706 × 10,114.08
  4. Step 4: Simplify right side
    21,807.24x = 330,791,100.48
  5. Step 5: Solve for x
    x = 330,791,100.48/21,807.24
  6. Step 6: Final answer
    x = 15,168.87

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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.