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Finding the Fourth Proportional to 17,615.76, 26,428.04 and 12,431.76

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Solution

The fourth proportional to 17,615.76, 26,428.04 and 12,431.76 is: 18,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.76 : 26,428.04 = 12,431.76 : x
  2. Step 2: Convert to fraction form
    17,615.76/26,428.04 = 12,431.76/x
  3. Step 3: Cross multiply
    17,615.76x = 26,428.04 × 12,431.76
  4. Step 4: Simplify right side
    17,615.76x = 328,547,050.55
  5. Step 5: Solve for x
    x = 328,547,050.55/17,615.76
  6. Step 6: Final answer
    x = 18,650.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.