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Finding the Fourth Proportional to 14,821.48, 20,459.94 and 9,235.24

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Solution

The fourth proportional to 14,821.48, 20,459.94 and 9,235.24 is: 12,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.48 : 20,459.94 = 9,235.24 : x
  2. Step 2: Convert to fraction form
    14,821.48/20,459.94 = 9,235.24/x
  3. Step 3: Cross multiply
    14,821.48x = 20,459.94 × 9,235.24
  4. Step 4: Simplify right side
    14,821.48x = 188,952,456.29
  5. Step 5: Solve for x
    x = 188,952,456.29/14,821.48
  6. Step 6: Final answer
    x = 12,748.56

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1.5x scale

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.