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Finding the Fourth Proportional to 40,544.16, 60,816.24 and 12,840

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Solution

The fourth proportional to 40,544.16, 60,816.24 and 12,840 is: 19,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,544.16 : 60,816.24 = 12,840 : x
  2. Step 2: Convert to fraction form
    40,544.16/60,816.24 = 12,840/x
  3. Step 3: Cross multiply
    40,544.16x = 60,816.24 × 12,840
  4. Step 4: Simplify right side
    40,544.16x = 780,880,521.60
  5. Step 5: Solve for x
    x = 780,880,521.60/40,544.16
  6. Step 6: Final answer
    x = 19,260

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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.