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Finding the Fourth Proportional to 22,659.59, 31,274.68 and 14,477.94

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Solution

The fourth proportional to 22,659.59, 31,274.68 and 14,477.94 is: 19,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.59 : 31,274.68 = 14,477.94 : x
  2. Step 2: Convert to fraction form
    22,659.59/31,274.68 = 14,477.94/x
  3. Step 3: Cross multiply
    22,659.59x = 31,274.68 × 14,477.94
  4. Step 4: Simplify right side
    22,659.59x = 452,792,820.38
  5. Step 5: Solve for x
    x = 452,792,820.38/22,659.59
  6. Step 6: Final answer
    x = 19,982.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.