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Finding the Fourth Proportional to 22,049.61, 30,416.79 and 13,969

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Solution

The fourth proportional to 22,049.61, 30,416.79 and 13,969 is: 19,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.61 : 30,416.79 = 13,969 : x
  2. Step 2: Convert to fraction form
    22,049.61/30,416.79 = 13,969/x
  3. Step 3: Cross multiply
    22,049.61x = 30,416.79 × 13,969
  4. Step 4: Simplify right side
    22,049.61x = 424,892,139.51
  5. Step 5: Solve for x
    x = 424,892,139.51/22,049.61
  6. Step 6: Final answer
    x = 19,269.83

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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.