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Finding the Fourth Proportional to 20,875.30, 28,807.70 and 11,443.84

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Solution

The fourth proportional to 20,875.30, 28,807.70 and 11,443.84 is: 15,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.30 : 28,807.70 = 11,443.84 : x
  2. Step 2: Convert to fraction form
    20,875.30/28,807.70 = 11,443.84/x
  3. Step 3: Cross multiply
    20,875.30x = 28,807.70 × 11,443.84
  4. Step 4: Simplify right side
    20,875.30x = 329,670,709.57
  5. Step 5: Solve for x
    x = 329,670,709.57/20,875.30
  6. Step 6: Final answer
    x = 15,792.38

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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.