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Finding the Fourth Proportional to 12,875.20, 19,312.80 and 5,963.20

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Solution

The fourth proportional to 12,875.20, 19,312.80 and 5,963.20 is: 8,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.20 : 19,312.80 = 5,963.20 : x
  2. Step 2: Convert to fraction form
    12,875.20/19,312.80 = 5,963.20/x
  3. Step 3: Cross multiply
    12,875.20x = 19,312.80 × 5,963.20
  4. Step 4: Simplify right side
    12,875.20x = 115,166,088.96
  5. Step 5: Solve for x
    x = 115,166,088.96/12,875.20
  6. Step 6: Final answer
    x = 8,944.80

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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.