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Finding the Fourth Proportional to 12,784.80, 19,169.37 and 4,984.50

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Solution

The fourth proportional to 12,784.80, 19,169.37 and 4,984.50 is: 7,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.80 : 19,169.37 = 4,984.50 : x
  2. Step 2: Convert to fraction form
    12,784.80/19,169.37 = 4,984.50/x
  3. Step 3: Cross multiply
    12,784.80x = 19,169.37 × 4,984.50
  4. Step 4: Simplify right side
    12,784.80x = 95,549,724.77
  5. Step 5: Solve for x
    x = 95,549,724.77/12,784.80
  6. Step 6: Final answer
    x = 7,473.70

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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.