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Finding the Fourth Proportional to 14,867.69, 22,299.47 and 8,216.47

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Solution

The fourth proportional to 14,867.69, 22,299.47 and 8,216.47 is: 12,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.69 : 22,299.47 = 8,216.47 : x
  2. Step 2: Convert to fraction form
    14,867.69/22,299.47 = 8,216.47/x
  3. Step 3: Cross multiply
    14,867.69x = 22,299.47 × 8,216.47
  4. Step 4: Simplify right side
    14,867.69x = 183,222,943.87
  5. Step 5: Solve for x
    x = 183,222,943.87/14,867.69
  6. Step 6: Final answer
    x = 12,323.57

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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.