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Finding the Fourth Proportional to 12,735.77, 19,096.65 and 4,415.04

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Solution

The fourth proportional to 12,735.77, 19,096.65 and 4,415.04 is: 6,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.77 : 19,096.65 = 4,415.04 : x
  2. Step 2: Convert to fraction form
    12,735.77/19,096.65 = 4,415.04/x
  3. Step 3: Cross multiply
    12,735.77x = 19,096.65 × 4,415.04
  4. Step 4: Simplify right side
    12,735.77x = 84,312,473.62
  5. Step 5: Solve for x
    x = 84,312,473.62/12,735.77
  6. Step 6: Final answer
    x = 6,620.13

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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.