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Finding the Fourth Proportional to 14,812.60, 22,228 and 7,797.68

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Solution

The fourth proportional to 14,812.60, 22,228 and 7,797.68 is: 11,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.60 : 22,228 = 7,797.68 : x
  2. Step 2: Convert to fraction form
    14,812.60/22,228 = 7,797.68/x
  3. Step 3: Cross multiply
    14,812.60x = 22,228 × 7,797.68
  4. Step 4: Simplify right side
    14,812.60x = 173,326,831.04
  5. Step 5: Solve for x
    x = 173,326,831.04/14,812.60
  6. Step 6: Final answer
    x = 11,701.31

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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.