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Finding the Fourth Proportional to 22,496.69, 31,045.43 and 13,065.86

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Solution

The fourth proportional to 22,496.69, 31,045.43 and 13,065.86 is: 18,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.69 : 31,045.43 = 13,065.86 : x
  2. Step 2: Convert to fraction form
    22,496.69/31,045.43 = 13,065.86/x
  3. Step 3: Cross multiply
    22,496.69x = 31,045.43 × 13,065.86
  4. Step 4: Simplify right side
    22,496.69x = 405,635,242.02
  5. Step 5: Solve for x
    x = 405,635,242.02/22,496.69
  6. Step 6: Final answer
    x = 18,030.89

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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.