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Finding the Fourth Proportional to 17,402.07, 24,009.35 and 10,229.69

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Solution

The fourth proportional to 17,402.07, 24,009.35 and 10,229.69 is: 14,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.07 : 24,009.35 = 10,229.69 : x
  2. Step 2: Convert to fraction form
    17,402.07/24,009.35 = 10,229.69/x
  3. Step 3: Cross multiply
    17,402.07x = 24,009.35 × 10,229.69
  4. Step 4: Simplify right side
    17,402.07x = 245,608,259.63
  5. Step 5: Solve for x
    x = 245,608,259.63/17,402.07
  6. Step 6: Final answer
    x = 14,113.74

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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.