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Finding the Fourth Proportional to 12,931.99, 17,841.47 and 8,458.29

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Solution

The fourth proportional to 12,931.99, 17,841.47 and 8,458.29 is: 11,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.99 : 17,841.47 = 8,458.29 : x
  2. Step 2: Convert to fraction form
    12,931.99/17,841.47 = 8,458.29/x
  3. Step 3: Cross multiply
    12,931.99x = 17,841.47 × 8,458.29
  4. Step 4: Simplify right side
    12,931.99x = 150,908,284.99
  5. Step 5: Solve for x
    x = 150,908,284.99/12,931.99
  6. Step 6: Final answer
    x = 11,669.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.