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Finding the Fourth Proportional to 22,778.69, 31,424.89 and 14,275.02

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Solution

The fourth proportional to 22,778.69, 31,424.89 and 14,275.02 is: 19,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.69 : 31,424.89 = 14,275.02 : x
  2. Step 2: Convert to fraction form
    22,778.69/31,424.89 = 14,275.02/x
  3. Step 3: Cross multiply
    22,778.69x = 31,424.89 × 14,275.02
  4. Step 4: Simplify right side
    22,778.69x = 448,590,933.25
  5. Step 5: Solve for x
    x = 448,590,933.25/22,778.69
  6. Step 6: Final answer
    x = 19,693.45

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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.