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Finding the Fourth Proportional to 17,838.48, 24,615.04 and 10,284.76

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Solution

The fourth proportional to 17,838.48, 24,615.04 and 10,284.76 is: 14,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.48 : 24,615.04 = 10,284.76 : x
  2. Step 2: Convert to fraction form
    17,838.48/24,615.04 = 10,284.76/x
  3. Step 3: Cross multiply
    17,838.48x = 24,615.04 × 10,284.76
  4. Step 4: Simplify right side
    17,838.48x = 253,159,778.79
  5. Step 5: Solve for x
    x = 253,159,778.79/17,838.48
  6. Step 6: Final answer
    x = 14,191.78

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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.