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Finding the Fourth Proportional to 27,266.70, 40,900.05 and 13,442.70

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Solution

The fourth proportional to 27,266.70, 40,900.05 and 13,442.70 is: 20,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.70 : 40,900.05 = 13,442.70 : x
  2. Step 2: Convert to fraction form
    27,266.70/40,900.05 = 13,442.70/x
  3. Step 3: Cross multiply
    27,266.70x = 40,900.05 × 13,442.70
  4. Step 4: Simplify right side
    27,266.70x = 549,807,102.14
  5. Step 5: Solve for x
    x = 549,807,102.14/27,266.70
  6. Step 6: Final answer
    x = 20,164.05

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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.