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Finding the Fourth Proportional to 17,574.75, 24,256.04 and 10,127.07

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Solution

The fourth proportional to 17,574.75, 24,256.04 and 10,127.07 is: 13,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.75 : 24,256.04 = 10,127.07 : x
  2. Step 2: Convert to fraction form
    17,574.75/24,256.04 = 10,127.07/x
  3. Step 3: Cross multiply
    17,574.75x = 24,256.04 × 10,127.07
  4. Step 4: Simplify right side
    17,574.75x = 245,642,564.37
  5. Step 5: Solve for x
    x = 245,642,564.37/17,574.75
  6. Step 6: Final answer
    x = 13,977.02

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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.