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Finding the Fourth Proportional to 12,740.61, 19,101.68 and 6,419.39

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Solution

The fourth proportional to 12,740.61, 19,101.68 and 6,419.39 is: 9,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.61 : 19,101.68 = 6,419.39 : x
  2. Step 2: Convert to fraction form
    12,740.61/19,101.68 = 6,419.39/x
  3. Step 3: Cross multiply
    12,740.61x = 19,101.68 × 6,419.39
  4. Step 4: Simplify right side
    12,740.61x = 122,621,030.04
  5. Step 5: Solve for x
    x = 122,621,030.04/12,740.61
  6. Step 6: Final answer
    x = 9,624.42

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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.