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Finding the Fourth Proportional to 14,980.25, 20,624.16 and 11,787.92

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Solution

The fourth proportional to 14,980.25, 20,624.16 and 11,787.92 is: 16,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.25 : 20,624.16 = 11,787.92 : x
  2. Step 2: Convert to fraction form
    14,980.25/20,624.16 = 11,787.92/x
  3. Step 3: Cross multiply
    14,980.25x = 20,624.16 × 11,787.92
  4. Step 4: Simplify right side
    14,980.25x = 243,115,948.15
  5. Step 5: Solve for x
    x = 243,115,948.15/14,980.25
  6. Step 6: Final answer
    x = 16,229.10

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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.