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Finding the Fourth Proportional to 12,734.83, 19,098.87 and 9,026.11

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Solution

The fourth proportional to 12,734.83, 19,098.87 and 9,026.11 is: 13,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.83 : 19,098.87 = 9,026.11 : x
  2. Step 2: Convert to fraction form
    12,734.83/19,098.87 = 9,026.11/x
  3. Step 3: Cross multiply
    12,734.83x = 19,098.87 × 9,026.11
  4. Step 4: Simplify right side
    12,734.83x = 172,388,501.50
  5. Step 5: Solve for x
    x = 172,388,501.50/12,734.83
  6. Step 6: Final answer
    x = 13,536.77

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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.