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Finding the Fourth Proportional to 17,971.94, 24,802.04 and 10,014.16

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Solution

The fourth proportional to 17,971.94, 24,802.04 and 10,014.16 is: 13,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.94 : 24,802.04 = 10,014.16 : x
  2. Step 2: Convert to fraction form
    17,971.94/24,802.04 = 10,014.16/x
  3. Step 3: Cross multiply
    17,971.94x = 24,802.04 × 10,014.16
  4. Step 4: Simplify right side
    17,971.94x = 248,371,596.89
  5. Step 5: Solve for x
    x = 248,371,596.89/17,971.94
  6. Step 6: Final answer
    x = 13,819.97

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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.