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Finding the Fourth Proportional to 23,050.90, 31,809.94 and 12,841.93

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Solution

The fourth proportional to 23,050.90, 31,809.94 and 12,841.93 is: 17,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.90 : 31,809.94 = 12,841.93 : x
  2. Step 2: Convert to fraction form
    23,050.90/31,809.94 = 12,841.93/x
  3. Step 3: Cross multiply
    23,050.90x = 31,809.94 × 12,841.93
  4. Step 4: Simplify right side
    23,050.90x = 408,501,022.78
  5. Step 5: Solve for x
    x = 408,501,022.78/23,050.90
  6. Step 6: Final answer
    x = 17,721.70

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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.