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Finding the Fourth Proportional to 26,602.14, 39,899.45 and 7,884.16

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Solution

The fourth proportional to 26,602.14, 39,899.45 and 7,884.16 is: 11,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.14 : 39,899.45 = 7,884.16 : x
  2. Step 2: Convert to fraction form
    26,602.14/39,899.45 = 7,884.16/x
  3. Step 3: Cross multiply
    26,602.14x = 39,899.45 × 7,884.16
  4. Step 4: Simplify right side
    26,602.14x = 314,573,567.67
  5. Step 5: Solve for x
    x = 314,573,567.67/26,602.14
  6. Step 6: Final answer
    x = 11,825.12

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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.