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Finding the Fourth Proportional to 27,056.16, 40,525.92 and 13,176

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Solution

The fourth proportional to 27,056.16, 40,525.92 and 13,176 is: 19,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056.16 : 40,525.92 = 13,176 : x
  2. Step 2: Convert to fraction form
    27,056.16/40,525.92 = 13,176/x
  3. Step 3: Cross multiply
    27,056.16x = 40,525.92 × 13,176
  4. Step 4: Simplify right side
    27,056.16x = 533,969,521.92
  5. Step 5: Solve for x
    x = 533,969,521.92/27,056.16
  6. Step 6: Final answer
    x = 19,735.60

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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.