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Finding the Fourth Proportional to 14,969.92, 22,429.92 and 10,219.12

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Solution

The fourth proportional to 14,969.92, 22,429.92 and 10,219.12 is: 15,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.92 : 22,429.92 = 10,219.12 : x
  2. Step 2: Convert to fraction form
    14,969.92/22,429.92 = 10,219.12/x
  3. Step 3: Cross multiply
    14,969.92x = 22,429.92 × 10,219.12
  4. Step 4: Simplify right side
    14,969.92x = 229,214,044.07
  5. Step 5: Solve for x
    x = 229,214,044.07/14,969.92
  6. Step 6: Final answer
    x = 15,311.64

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1.5x scale

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.