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Finding the Fourth Proportional to 12,701.60, 19,050.24 and 3,465.44

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Solution

The fourth proportional to 12,701.60, 19,050.24 and 3,465.44 is: 5,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.60 : 19,050.24 = 3,465.44 : x
  2. Step 2: Convert to fraction form
    12,701.60/19,050.24 = 3,465.44/x
  3. Step 3: Cross multiply
    12,701.60x = 19,050.24 × 3,465.44
  4. Step 4: Simplify right side
    12,701.60x = 66,017,463.71
  5. Step 5: Solve for x
    x = 66,017,463.71/12,701.60
  6. Step 6: Final answer
    x = 5,197.57

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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.