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Finding the Fourth Proportional to 27,901.64, 41,852.46 and 12,316.16

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Solution

The fourth proportional to 27,901.64, 41,852.46 and 12,316.16 is: 18,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.64 : 41,852.46 = 12,316.16 : x
  2. Step 2: Convert to fraction form
    27,901.64/41,852.46 = 12,316.16/x
  3. Step 3: Cross multiply
    27,901.64x = 41,852.46 × 12,316.16
  4. Step 4: Simplify right side
    27,901.64x = 515,461,593.75
  5. Step 5: Solve for x
    x = 515,461,593.75/27,901.64
  6. Step 6: Final answer
    x = 18,474.24

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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.