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Finding the Fourth Proportional to 14,564.59, 20,099.08 and 8,278.18

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Solution

The fourth proportional to 14,564.59, 20,099.08 and 8,278.18 is: 11,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.59 : 20,099.08 = 8,278.18 : x
  2. Step 2: Convert to fraction form
    14,564.59/20,099.08 = 8,278.18/x
  3. Step 3: Cross multiply
    14,564.59x = 20,099.08 × 8,278.18
  4. Step 4: Simplify right side
    14,564.59x = 166,383,802.07
  5. Step 5: Solve for x
    x = 166,383,802.07/14,564.59
  6. Step 6: Final answer
    x = 11,423.86

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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.