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Finding the Fourth Proportional to 17,972.82, 24,802.20 and 10,014.84

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Solution

The fourth proportional to 17,972.82, 24,802.20 and 10,014.84 is: 13,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.82 : 24,802.20 = 10,014.84 : x
  2. Step 2: Convert to fraction form
    17,972.82/24,802.20 = 10,014.84/x
  3. Step 3: Cross multiply
    17,972.82x = 24,802.20 × 10,014.84
  4. Step 4: Simplify right side
    17,972.82x = 248,390,064.65
  5. Step 5: Solve for x
    x = 248,390,064.65/17,972.82
  6. Step 6: Final answer
    x = 13,820.32

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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.