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Finding the Fourth Proportional to 15,011.64, 20,715.66 and 8,205.39

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Solution

The fourth proportional to 15,011.64, 20,715.66 and 8,205.39 is: 11,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.64 : 20,715.66 = 8,205.39 : x
  2. Step 2: Convert to fraction form
    15,011.64/20,715.66 = 8,205.39/x
  3. Step 3: Cross multiply
    15,011.64x = 20,715.66 × 8,205.39
  4. Step 4: Simplify right side
    15,011.64x = 169,980,069.41
  5. Step 5: Solve for x
    x = 169,980,069.41/15,011.64
  6. Step 6: Final answer
    x = 11,323.22

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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.