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Finding the Fourth Proportional to 28,242.50, 42,363.75 and 9,774.50

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Solution

The fourth proportional to 28,242.50, 42,363.75 and 9,774.50 is: 14,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.50 : 42,363.75 = 9,774.50 : x
  2. Step 2: Convert to fraction form
    28,242.50/42,363.75 = 9,774.50/x
  3. Step 3: Cross multiply
    28,242.50x = 42,363.75 × 9,774.50
  4. Step 4: Simplify right side
    28,242.50x = 414,084,474.38
  5. Step 5: Solve for x
    x = 414,084,474.38/28,242.50
  6. Step 6: Final answer
    x = 14,661.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.