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Finding the Fourth Proportional to 22,483.84, 31,029.91 and 13,051.84

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Solution

The fourth proportional to 22,483.84, 31,029.91 and 13,051.84 is: 18,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.84 : 31,029.91 = 13,051.84 : x
  2. Step 2: Convert to fraction form
    22,483.84/31,029.91 = 13,051.84/x
  3. Step 3: Cross multiply
    22,483.84x = 31,029.91 × 13,051.84
  4. Step 4: Simplify right side
    22,483.84x = 404,997,355.28
  5. Step 5: Solve for x
    x = 404,997,355.28/22,483.84
  6. Step 6: Final answer
    x = 18,012.82

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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.