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Finding the Fourth Proportional to 22,869.58, 31,562.82 and 13,918

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Solution

The fourth proportional to 22,869.58, 31,562.82 and 13,918 is: 19,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.58 : 31,562.82 = 13,918 : x
  2. Step 2: Convert to fraction form
    22,869.58/31,562.82 = 13,918/x
  3. Step 3: Cross multiply
    22,869.58x = 31,562.82 × 13,918
  4. Step 4: Simplify right side
    22,869.58x = 439,291,328.76
  5. Step 5: Solve for x
    x = 439,291,328.76/22,869.58
  6. Step 6: Final answer
    x = 19,208.54

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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.