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Finding the Fourth Proportional to 14,543.49, 20,097.24 and 12,388.89

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Solution

The fourth proportional to 14,543.49, 20,097.24 and 12,388.89 is: 17,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.49 : 20,097.24 = 12,388.89 : x
  2. Step 2: Convert to fraction form
    14,543.49/20,097.24 = 12,388.89/x
  3. Step 3: Cross multiply
    14,543.49x = 20,097.24 × 12,388.89
  4. Step 4: Simplify right side
    14,543.49x = 248,982,495.66
  5. Step 5: Solve for x
    x = 248,982,495.66/14,543.49
  6. Step 6: Final answer
    x = 17,119.86

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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.