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Finding the Fourth Proportional to 28,334.48, 42,501.24 and 9,866

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Solution

The fourth proportional to 28,334.48, 42,501.24 and 9,866 is: 14,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,334.48 : 42,501.24 = 9,866 : x
  2. Step 2: Convert to fraction form
    28,334.48/42,501.24 = 9,866/x
  3. Step 3: Cross multiply
    28,334.48x = 42,501.24 × 9,866
  4. Step 4: Simplify right side
    28,334.48x = 419,317,233.84
  5. Step 5: Solve for x
    x = 419,317,233.84/28,334.48
  6. Step 6: Final answer
    x = 14,798.83

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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.