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Finding the Fourth Proportional to 12,703.14, 19,051.65 and 3,816.60

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Solution

The fourth proportional to 12,703.14, 19,051.65 and 3,816.60 is: 5,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.14 : 19,051.65 = 3,816.60 : x
  2. Step 2: Convert to fraction form
    12,703.14/19,051.65 = 3,816.60/x
  3. Step 3: Cross multiply
    12,703.14x = 19,051.65 × 3,816.60
  4. Step 4: Simplify right side
    12,703.14x = 72,712,527.39
  5. Step 5: Solve for x
    x = 72,712,527.39/12,703.14
  6. Step 6: Final answer
    x = 5,723.98

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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.