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Finding the Fourth Proportional to 20,938.84, 28,894.50 and 11,505.58

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Solution

The fourth proportional to 20,938.84, 28,894.50 and 11,505.58 is: 15,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.84 : 28,894.50 = 11,505.58 : x
  2. Step 2: Convert to fraction form
    20,938.84/28,894.50 = 11,505.58/x
  3. Step 3: Cross multiply
    20,938.84x = 28,894.50 × 11,505.58
  4. Step 4: Simplify right side
    20,938.84x = 332,447,981.31
  5. Step 5: Solve for x
    x = 332,447,981.31/20,938.84
  6. Step 6: Final answer
    x = 15,877.10

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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.