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Finding the Fourth Proportional to 12,417.68, 18,624.70 and 4,097.90

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Solution

The fourth proportional to 12,417.68, 18,624.70 and 4,097.90 is: 6,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.68 : 18,624.70 = 4,097.90 : x
  2. Step 2: Convert to fraction form
    12,417.68/18,624.70 = 4,097.90/x
  3. Step 3: Cross multiply
    12,417.68x = 18,624.70 × 4,097.90
  4. Step 4: Simplify right side
    12,417.68x = 76,322,209.81
  5. Step 5: Solve for x
    x = 76,322,209.81/12,417.68
  6. Step 6: Final answer
    x = 6,146.25

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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.