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Finding the Fourth Proportional to 22,867.92, 31,558.32 and 13,437

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Solution

The fourth proportional to 22,867.92, 31,558.32 and 13,437 is: 18,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867.92 : 31,558.32 = 13,437 : x
  2. Step 2: Convert to fraction form
    22,867.92/31,558.32 = 13,437/x
  3. Step 3: Cross multiply
    22,867.92x = 31,558.32 × 13,437
  4. Step 4: Simplify right side
    22,867.92x = 424,049,145.84
  5. Step 5: Solve for x
    x = 424,049,145.84/22,867.92
  6. Step 6: Final answer
    x = 18,543.41

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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.