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Finding the Fourth Proportional to 14,807.62, 22,220.49 and 7,792.66

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Solution

The fourth proportional to 14,807.62, 22,220.49 and 7,792.66 is: 11,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.62 : 22,220.49 = 7,792.66 : x
  2. Step 2: Convert to fraction form
    14,807.62/22,220.49 = 7,792.66/x
  3. Step 3: Cross multiply
    14,807.62x = 22,220.49 × 7,792.66
  4. Step 4: Simplify right side
    14,807.62x = 173,156,612.50
  5. Step 5: Solve for x
    x = 173,156,612.50/14,807.62
  6. Step 6: Final answer
    x = 11,693.75

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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.