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Finding the Fourth Proportional to 12,737.64, 19,113.84 and 5,341.44

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Solution

The fourth proportional to 12,737.64, 19,113.84 and 5,341.44 is: 8,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.64 : 19,113.84 = 5,341.44 : x
  2. Step 2: Convert to fraction form
    12,737.64/19,113.84 = 5,341.44/x
  3. Step 3: Cross multiply
    12,737.64x = 19,113.84 × 5,341.44
  4. Step 4: Simplify right side
    12,737.64x = 102,095,429.53
  5. Step 5: Solve for x
    x = 102,095,429.53/12,737.64
  6. Step 6: Final answer
    x = 8,015.25

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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.