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Finding the Fourth Proportional to 17,582.70, 24,259.31 and 10,026.28

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Solution

The fourth proportional to 17,582.70, 24,259.31 and 10,026.28 is: 13,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.70 : 24,259.31 = 10,026.28 : x
  2. Step 2: Convert to fraction form
    17,582.70/24,259.31 = 10,026.28/x
  3. Step 3: Cross multiply
    17,582.70x = 24,259.31 × 10,026.28
  4. Step 4: Simplify right side
    17,582.70x = 243,230,513.37
  5. Step 5: Solve for x
    x = 243,230,513.37/17,582.70
  6. Step 6: Final answer
    x = 13,833.51

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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.