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Finding the Fourth Proportional to 12,134.80, 16,746.24 and 7,421.68

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Solution

The fourth proportional to 12,134.80, 16,746.24 and 7,421.68 is: 10,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.80 : 16,746.24 = 7,421.68 : x
  2. Step 2: Convert to fraction form
    12,134.80/16,746.24 = 7,421.68/x
  3. Step 3: Cross multiply
    12,134.80x = 16,746.24 × 7,421.68
  4. Step 4: Simplify right side
    12,134.80x = 124,285,234.48
  5. Step 5: Solve for x
    x = 124,285,234.48/12,134.80
  6. Step 6: Final answer
    x = 10,242.05

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