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Finding the Fourth Proportional to 14,809.50, 22,225.17 and 7,018.32

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Solution

The fourth proportional to 14,809.50, 22,225.17 and 7,018.32 is: 10,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.50 : 22,225.17 = 7,018.32 : x
  2. Step 2: Convert to fraction form
    14,809.50/22,225.17 = 7,018.32/x
  3. Step 3: Cross multiply
    14,809.50x = 22,225.17 × 7,018.32
  4. Step 4: Simplify right side
    14,809.50x = 155,983,355.11
  5. Step 5: Solve for x
    x = 155,983,355.11/14,809.50
  6. Step 6: Final answer
    x = 10,532.66

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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.