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Finding the Fourth Proportional to 22,970.35, 31,696.72 and 12,899.91

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Solution

The fourth proportional to 22,970.35, 31,696.72 and 12,899.91 is: 17,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.35 : 31,696.72 = 12,899.91 : x
  2. Step 2: Convert to fraction form
    22,970.35/31,696.72 = 12,899.91/x
  3. Step 3: Cross multiply
    22,970.35x = 31,696.72 × 12,899.91
  4. Step 4: Simplify right side
    22,970.35x = 408,884,835.30
  5. Step 5: Solve for x
    x = 408,884,835.30/22,970.35
  6. Step 6: Final answer
    x = 17,800.55

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