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Finding the Fourth Proportional to 12,138.48, 16,741.08 and 10,254.48

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Solution

The fourth proportional to 12,138.48, 16,741.08 and 10,254.48 is: 14,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.48 : 16,741.08 = 10,254.48 : x
  2. Step 2: Convert to fraction form
    12,138.48/16,741.08 = 10,254.48/x
  3. Step 3: Cross multiply
    12,138.48x = 16,741.08 × 10,254.48
  4. Step 4: Simplify right side
    12,138.48x = 171,671,070.04
  5. Step 5: Solve for x
    x = 171,671,070.04/12,138.48
  6. Step 6: Final answer
    x = 14,142.72

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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.