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Finding the Fourth Proportional to 14,906.90, 22,359.06 and 5,045.96

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Solution

The fourth proportional to 14,906.90, 22,359.06 and 5,045.96 is: 7,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.90 : 22,359.06 = 5,045.96 : x
  2. Step 2: Convert to fraction form
    14,906.90/22,359.06 = 5,045.96/x
  3. Step 3: Cross multiply
    14,906.90x = 22,359.06 × 5,045.96
  4. Step 4: Simplify right side
    14,906.90x = 112,822,922.40
  5. Step 5: Solve for x
    x = 112,822,922.40/14,906.90
  6. Step 6: Final answer
    x = 7,568.50

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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.