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Finding the Fourth Proportional to 28,353.84, 39,128.31 and 15,778.50

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Solution

The fourth proportional to 28,353.84, 39,128.31 and 15,778.50 is: 21,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,353.84 : 39,128.31 = 15,778.50 : x
  2. Step 2: Convert to fraction form
    28,353.84/39,128.31 = 15,778.50/x
  3. Step 3: Cross multiply
    28,353.84x = 39,128.31 × 15,778.50
  4. Step 4: Simplify right side
    28,353.84x = 617,386,039.34
  5. Step 5: Solve for x
    x = 617,386,039.34/28,353.84
  6. Step 6: Final answer
    x = 21,774.34

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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.