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Finding the Fourth Proportional to 14,530.65, 20,053.78 and 8,564.24

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Solution

The fourth proportional to 14,530.65, 20,053.78 and 8,564.24 is: 11,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.65 : 20,053.78 = 8,564.24 : x
  2. Step 2: Convert to fraction form
    14,530.65/20,053.78 = 8,564.24/x
  3. Step 3: Cross multiply
    14,530.65x = 20,053.78 × 8,564.24
  4. Step 4: Simplify right side
    14,530.65x = 171,745,384.83
  5. Step 5: Solve for x
    x = 171,745,384.83/14,530.65
  6. Step 6: Final answer
    x = 11,819.53

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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.