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Finding the Fourth Proportional to 14,689.90, 22,026.66 and 4,828.42

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Solution

The fourth proportional to 14,689.90, 22,026.66 and 4,828.42 is: 7,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.90 : 22,026.66 = 4,828.42 : x
  2. Step 2: Convert to fraction form
    14,689.90/22,026.66 = 4,828.42/x
  3. Step 3: Cross multiply
    14,689.90x = 22,026.66 × 4,828.42
  4. Step 4: Simplify right side
    14,689.90x = 106,353,965.68
  5. Step 5: Solve for x
    x = 106,353,965.68/14,689.90
  6. Step 6: Final answer
    x = 7,239.94

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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.