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Finding the Fourth Proportional to 20,875.29, 28,807.68 and 11,443.80

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Solution

The fourth proportional to 20,875.29, 28,807.68 and 11,443.80 is: 15,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.29 : 28,807.68 = 11,443.80 : x
  2. Step 2: Convert to fraction form
    20,875.29/28,807.68 = 11,443.80/x
  3. Step 3: Cross multiply
    20,875.29x = 28,807.68 × 11,443.80
  4. Step 4: Simplify right side
    20,875.29x = 329,669,328.38
  5. Step 5: Solve for x
    x = 329,669,328.38/20,875.29
  6. Step 6: Final answer
    x = 15,792.32

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Why These Related Problems?

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