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Finding the Fourth Proportional to 19,837.68, 29,756.52 and 8,886

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Solution

The fourth proportional to 19,837.68, 29,756.52 and 8,886 is: 13,329

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837.68 : 29,756.52 = 8,886 : x
  2. Step 2: Convert to fraction form
    19,837.68/29,756.52 = 8,886/x
  3. Step 3: Cross multiply
    19,837.68x = 29,756.52 × 8,886
  4. Step 4: Simplify right side
    19,837.68x = 264,416,436.72
  5. Step 5: Solve for x
    x = 264,416,436.72/19,837.68
  6. Step 6: Final answer
    x = 13,329

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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.