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Finding the Fourth Proportional to 12,840.10, 19,225.38 and 6,671.14

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Solution

The fourth proportional to 12,840.10, 19,225.38 and 6,671.14 is: 9,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.10 : 19,225.38 = 6,671.14 : x
  2. Step 2: Convert to fraction form
    12,840.10/19,225.38 = 6,671.14/x
  3. Step 3: Cross multiply
    12,840.10x = 19,225.38 × 6,671.14
  4. Step 4: Simplify right side
    12,840.10x = 128,255,201.53
  5. Step 5: Solve for x
    x = 128,255,201.53/12,840.10
  6. Step 6: Final answer
    x = 9,988.65

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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.