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Finding the Fourth Proportional to 28,362.38, 42,563.00 and 9,894.38

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Solution

The fourth proportional to 28,362.38, 42,563.00 and 9,894.38 is: 14,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,362.38 : 42,563.00 = 9,894.38 : x
  2. Step 2: Convert to fraction form
    28,362.38/42,563.00 = 9,894.38/x
  3. Step 3: Cross multiply
    28,362.38x = 42,563.00 × 9,894.38
  4. Step 4: Simplify right side
    28,362.38x = 421,134,307.86
  5. Step 5: Solve for x
    x = 421,134,307.86/28,362.38
  6. Step 6: Final answer
    x = 14,848.34

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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.