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Finding the Fourth Proportional to 12,847.50, 19,279.35 and 5,056.74

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Solution

The fourth proportional to 12,847.50, 19,279.35 and 5,056.74 is: 7,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.50 : 19,279.35 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    12,847.50/19,279.35 = 5,056.74/x
  3. Step 3: Cross multiply
    12,847.50x = 19,279.35 × 5,056.74
  4. Step 4: Simplify right side
    12,847.50x = 97,490,660.32
  5. Step 5: Solve for x
    x = 97,490,660.32/12,847.50
  6. Step 6: Final answer
    x = 7,588.30

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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.