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Finding the Fourth Proportional to 17,802.63, 24,569.46 and 10,249.25

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Solution

The fourth proportional to 17,802.63, 24,569.46 and 10,249.25 is: 14,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.63 : 24,569.46 = 10,249.25 : x
  2. Step 2: Convert to fraction form
    17,802.63/24,569.46 = 10,249.25/x
  3. Step 3: Cross multiply
    17,802.63x = 24,569.46 × 10,249.25
  4. Step 4: Simplify right side
    17,802.63x = 251,818,415.06
  5. Step 5: Solve for x
    x = 251,818,415.06/17,802.63
  6. Step 6: Final answer
    x = 14,145.01

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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.