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Finding the Fourth Proportional to 14,929.92, 22,394.88 and 8,048.16

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Solution

The fourth proportional to 14,929.92, 22,394.88 and 8,048.16 is: 12,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.92 : 22,394.88 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    14,929.92/22,394.88 = 8,048.16/x
  3. Step 3: Cross multiply
    14,929.92x = 22,394.88 × 8,048.16
  4. Step 4: Simplify right side
    14,929.92x = 180,237,577.42
  5. Step 5: Solve for x
    x = 180,237,577.42/14,929.92
  6. Step 6: Final answer
    x = 12,072.24

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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.