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Finding the Fourth Proportional to 20,401.74, 30,596.13 and 6,547.50

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Solution

The fourth proportional to 20,401.74, 30,596.13 and 6,547.50 is: 9,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.74 : 30,596.13 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    20,401.74/30,596.13 = 6,547.50/x
  3. Step 3: Cross multiply
    20,401.74x = 30,596.13 × 6,547.50
  4. Step 4: Simplify right side
    20,401.74x = 200,328,161.18
  5. Step 5: Solve for x
    x = 200,328,161.18/20,401.74
  6. Step 6: Final answer
    x = 9,819.17

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