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Finding the Fourth Proportional to 13,114.78, 19,671.91 and 4,794.74

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Solution

The fourth proportional to 13,114.78, 19,671.91 and 4,794.74 is: 7,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.78 : 19,671.91 = 4,794.74 : x
  2. Step 2: Convert to fraction form
    13,114.78/19,671.91 = 4,794.74/x
  3. Step 3: Cross multiply
    13,114.78x = 19,671.91 × 4,794.74
  4. Step 4: Simplify right side
    13,114.78x = 94,321,693.75
  5. Step 5: Solve for x
    x = 94,321,693.75/13,114.78
  6. Step 6: Final answer
    x = 7,192.01

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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.