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Finding the Fourth Proportional to 42,794.40, 64,194.68 and 13,208.40

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Solution

The fourth proportional to 42,794.40, 64,194.68 and 13,208.40 is: 19,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794.40 : 64,194.68 = 13,208.40 : x
  2. Step 2: Convert to fraction form
    42,794.40/64,194.68 = 13,208.40/x
  3. Step 3: Cross multiply
    42,794.40x = 64,194.68 × 13,208.40
  4. Step 4: Simplify right side
    42,794.40x = 847,909,011.31
  5. Step 5: Solve for x
    x = 847,909,011.31/42,794.40
  6. Step 6: Final answer
    x = 19,813.55

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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.