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Finding the Fourth Proportional to 21,710.74, 32,547.65 and 20,677.39

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Solution

The fourth proportional to 21,710.74, 32,547.65 and 20,677.39 is: 30,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.74 : 32,547.65 = 20,677.39 : x
  2. Step 2: Convert to fraction form
    21,710.74/32,547.65 = 20,677.39/x
  3. Step 3: Cross multiply
    21,710.74x = 32,547.65 × 20,677.39
  4. Step 4: Simplify right side
    21,710.74x = 673,000,452.63
  5. Step 5: Solve for x
    x = 673,000,452.63/21,710.74
  6. Step 6: Final answer
    x = 30,998.50

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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.