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Finding the Fourth Proportional to 14,449.52, 21,656.54 and 8,214.76

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Solution

The fourth proportional to 14,449.52, 21,656.54 and 8,214.76 is: 12,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.52 : 21,656.54 = 8,214.76 : x
  2. Step 2: Convert to fraction form
    14,449.52/21,656.54 = 8,214.76/x
  3. Step 3: Cross multiply
    14,449.52x = 21,656.54 × 8,214.76
  4. Step 4: Simplify right side
    14,449.52x = 177,903,278.53
  5. Step 5: Solve for x
    x = 177,903,278.53/14,449.52
  6. Step 6: Final answer
    x = 12,312.05

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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.