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Finding the Fourth Proportional to 14,810.50, 22,226.68 and 7,019.32

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Solution

The fourth proportional to 14,810.50, 22,226.68 and 7,019.32 is: 10,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.50 : 22,226.68 = 7,019.32 : x
  2. Step 2: Convert to fraction form
    14,810.50/22,226.68 = 7,019.32/x
  3. Step 3: Cross multiply
    14,810.50x = 22,226.68 × 7,019.32
  4. Step 4: Simplify right side
    14,810.50x = 156,016,179.46
  5. Step 5: Solve for x
    x = 156,016,179.46/14,810.50
  6. Step 6: Final answer
    x = 10,534.16

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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.