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Finding the Fourth Proportional to 22,970.24, 31,701.73 and 12,899.10

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Solution

The fourth proportional to 22,970.24, 31,701.73 and 12,899.10 is: 17,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.24 : 31,701.73 = 12,899.10 : x
  2. Step 2: Convert to fraction form
    22,970.24/31,701.73 = 12,899.10/x
  3. Step 3: Cross multiply
    22,970.24x = 31,701.73 × 12,899.10
  4. Step 4: Simplify right side
    22,970.24x = 408,923,785.44
  5. Step 5: Solve for x
    x = 408,923,785.44/22,970.24
  6. Step 6: Final answer
    x = 17,802.33

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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.