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Finding the Fourth Proportional to 12,951.85, 19,424.89 and 5,054.58

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Solution

The fourth proportional to 12,951.85, 19,424.89 and 5,054.58 is: 7,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.85 : 19,424.89 = 5,054.58 : x
  2. Step 2: Convert to fraction form
    12,951.85/19,424.89 = 5,054.58/x
  3. Step 3: Cross multiply
    12,951.85x = 19,424.89 × 5,054.58
  4. Step 4: Simplify right side
    12,951.85x = 98,184,660.50
  5. Step 5: Solve for x
    x = 98,184,660.50/12,951.85
  6. Step 6: Final answer
    x = 7,580.74

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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.