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Finding the Fourth Proportional to 14,807.50, 22,222.17 and 7,016.32

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Solution

The fourth proportional to 14,807.50, 22,222.17 and 7,016.32 is: 10,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.50 : 22,222.17 = 7,016.32 : x
  2. Step 2: Convert to fraction form
    14,807.50/22,222.17 = 7,016.32/x
  3. Step 3: Cross multiply
    14,807.50x = 22,222.17 × 7,016.32
  4. Step 4: Simplify right side
    14,807.50x = 155,917,855.81
  5. Step 5: Solve for x
    x = 155,917,855.81/14,807.50
  6. Step 6: Final answer
    x = 10,529.65

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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.