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Finding the Fourth Proportional to 22,823.51, 31,491.03 and 13,257.72

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Solution

The fourth proportional to 22,823.51, 31,491.03 and 13,257.72 is: 18,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.51 : 31,491.03 = 13,257.72 : x
  2. Step 2: Convert to fraction form
    22,823.51/31,491.03 = 13,257.72/x
  3. Step 3: Cross multiply
    22,823.51x = 31,491.03 × 13,257.72
  4. Step 4: Simplify right side
    22,823.51x = 417,499,295.15
  5. Step 5: Solve for x
    x = 417,499,295.15/22,823.51
  6. Step 6: Final answer
    x = 18,292.51

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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.