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Finding the Fourth Proportional to 22,509.25, 31,062.77 and 12,573.25

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Solution

The fourth proportional to 22,509.25, 31,062.77 and 12,573.25 is: 17,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.25 : 31,062.77 = 12,573.25 : x
  2. Step 2: Convert to fraction form
    22,509.25/31,062.77 = 12,573.25/x
  3. Step 3: Cross multiply
    22,509.25x = 31,062.77 × 12,573.25
  4. Step 4: Simplify right side
    22,509.25x = 390,559,910.04
  5. Step 5: Solve for x
    x = 390,559,910.04/22,509.25
  6. Step 6: Final answer
    x = 17,351.09

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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.