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Finding the Fourth Proportional to 27,142.02, 37,458.18 and 15,208.02

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Solution

The fourth proportional to 27,142.02, 37,458.18 and 15,208.02 is: 20,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.02 : 37,458.18 = 15,208.02 : x
  2. Step 2: Convert to fraction form
    27,142.02/37,458.18 = 15,208.02/x
  3. Step 3: Cross multiply
    27,142.02x = 37,458.18 × 15,208.02
  4. Step 4: Simplify right side
    27,142.02x = 569,664,750.60
  5. Step 5: Solve for x
    x = 569,664,750.60/27,142.02
  6. Step 6: Final answer
    x = 20,988.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.