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Finding the Fourth Proportional to 28,142.16, 42,223.36 and 13,162.64

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Solution

The fourth proportional to 28,142.16, 42,223.36 and 13,162.64 is: 19,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.16 : 42,223.36 = 13,162.64 : x
  2. Step 2: Convert to fraction form
    28,142.16/42,223.36 = 13,162.64/x
  3. Step 3: Cross multiply
    28,142.16x = 42,223.36 × 13,162.64
  4. Step 4: Simplify right side
    28,142.16x = 555,770,887.27
  5. Step 5: Solve for x
    x = 555,770,887.27/28,142.16
  6. Step 6: Final answer
    x = 19,748.69

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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.