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Finding the Fourth Proportional to 20,500.34, 28,291.80 and 11,547

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Solution

The fourth proportional to 20,500.34, 28,291.80 and 11,547 is: 15,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.34 : 28,291.80 = 11,547 : x
  2. Step 2: Convert to fraction form
    20,500.34/28,291.80 = 11,547/x
  3. Step 3: Cross multiply
    20,500.34x = 28,291.80 × 11,547
  4. Step 4: Simplify right side
    20,500.34x = 326,685,414.60
  5. Step 5: Solve for x
    x = 326,685,414.60/20,500.34
  6. Step 6: Final answer
    x = 15,935.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.