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Finding the Fourth Proportional to 21,281, 31,921.50 and 5,698.28

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Solution

The fourth proportional to 21,281, 31,921.50 and 5,698.28 is: 8,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281 : 31,921.50 = 5,698.28 : x
  2. Step 2: Convert to fraction form
    21,281/31,921.50 = 5,698.28/x
  3. Step 3: Cross multiply
    21,281x = 31,921.50 × 5,698.28
  4. Step 4: Simplify right side
    21,281x = 181,897,645.02
  5. Step 5: Solve for x
    x = 181,897,645.02/21,281
  6. Step 6: Final answer
    x = 8,547.42

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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.