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Finding the Fourth Proportional to 12,410.10, 18,615.12 and 3,176.10

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Solution

The fourth proportional to 12,410.10, 18,615.12 and 3,176.10 is: 4,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.10 : 18,615.12 = 3,176.10 : x
  2. Step 2: Convert to fraction form
    12,410.10/18,615.12 = 3,176.10/x
  3. Step 3: Cross multiply
    12,410.10x = 18,615.12 × 3,176.10
  4. Step 4: Simplify right side
    12,410.10x = 59,123,482.63
  5. Step 5: Solve for x
    x = 59,123,482.63/12,410.10
  6. Step 6: Final answer
    x = 4,764.14

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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.