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Finding the Fourth Proportional to 20,871.50, 31,309.18 and 7,547.82

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Solution

The fourth proportional to 20,871.50, 31,309.18 and 7,547.82 is: 11,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.50 : 31,309.18 = 7,547.82 : x
  2. Step 2: Convert to fraction form
    20,871.50/31,309.18 = 7,547.82/x
  3. Step 3: Cross multiply
    20,871.50x = 31,309.18 × 7,547.82
  4. Step 4: Simplify right side
    20,871.50x = 236,316,017.25
  5. Step 5: Solve for x
    x = 236,316,017.25/20,871.50
  6. Step 6: Final answer
    x = 11,322.43

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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.