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Finding the Fourth Proportional to 12,435.38, 18,656.02 and 4,115.40

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Solution

The fourth proportional to 12,435.38, 18,656.02 and 4,115.40 is: 6,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.38 : 18,656.02 = 4,115.40 : x
  2. Step 2: Convert to fraction form
    12,435.38/18,656.02 = 4,115.40/x
  3. Step 3: Cross multiply
    12,435.38x = 18,656.02 × 4,115.40
  4. Step 4: Simplify right side
    12,435.38x = 76,776,984.71
  5. Step 5: Solve for x
    x = 76,776,984.71/12,435.38
  6. Step 6: Final answer
    x = 6,174.08

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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.