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Finding the Fourth Proportional to 12,509.84, 18,764.78 and 5,114.30

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Solution

The fourth proportional to 12,509.84, 18,764.78 and 5,114.30 is: 7,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.84 : 18,764.78 = 5,114.30 : x
  2. Step 2: Convert to fraction form
    12,509.84/18,764.78 = 5,114.30/x
  3. Step 3: Cross multiply
    12,509.84x = 18,764.78 × 5,114.30
  4. Step 4: Simplify right side
    12,509.84x = 95,968,594.96
  5. Step 5: Solve for x
    x = 95,968,594.96/12,509.84
  6. Step 6: Final answer
    x = 7,671.45

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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.