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Finding the Fourth Proportional to 14,594.86, 20,140.62 and 8,929.20

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Solution

The fourth proportional to 14,594.86, 20,140.62 and 8,929.20 is: 12,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.86 : 20,140.62 = 8,929.20 : x
  2. Step 2: Convert to fraction form
    14,594.86/20,140.62 = 8,929.20/x
  3. Step 3: Cross multiply
    14,594.86x = 20,140.62 × 8,929.20
  4. Step 4: Simplify right side
    14,594.86x = 179,839,624.10
  5. Step 5: Solve for x
    x = 179,839,624.10/14,594.86
  6. Step 6: Final answer
    x = 12,322.12

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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.