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Finding the Fourth Proportional to 13,037.76, 19,556.64 and 8,424

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Solution

The fourth proportional to 13,037.76, 19,556.64 and 8,424 is: 12,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.76 : 19,556.64 = 8,424 : x
  2. Step 2: Convert to fraction form
    13,037.76/19,556.64 = 8,424/x
  3. Step 3: Cross multiply
    13,037.76x = 19,556.64 × 8,424
  4. Step 4: Simplify right side
    13,037.76x = 164,745,135.36
  5. Step 5: Solve for x
    x = 164,745,135.36/13,037.76
  6. Step 6: Final answer
    x = 12,636.00

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