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Finding the Fourth Proportional to 22,649.82, 31,258.08 and 14,157.24

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Solution

The fourth proportional to 22,649.82, 31,258.08 and 14,157.24 is: 19,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.82 : 31,258.08 = 14,157.24 : x
  2. Step 2: Convert to fraction form
    22,649.82/31,258.08 = 14,157.24/x
  3. Step 3: Cross multiply
    22,649.82x = 31,258.08 × 14,157.24
  4. Step 4: Simplify right side
    22,649.82x = 442,528,140.50
  5. Step 5: Solve for x
    x = 442,528,140.50/22,649.82
  6. Step 6: Final answer
    x = 19,537.82

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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.