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Finding the Fourth Proportional to 22,448.58, 30,971.52 and 14,496.18

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Solution

The fourth proportional to 22,448.58, 30,971.52 and 14,496.18 is: 19,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.58 : 30,971.52 = 14,496.18 : x
  2. Step 2: Convert to fraction form
    22,448.58/30,971.52 = 14,496.18/x
  3. Step 3: Cross multiply
    22,448.58x = 30,971.52 × 14,496.18
  4. Step 4: Simplify right side
    22,448.58x = 448,968,728.79
  5. Step 5: Solve for x
    x = 448,968,728.79/22,448.58
  6. Step 6: Final answer
    x = 19,999.87

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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.