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Finding the Fourth Proportional to 27,029.32, 40,564.86 and 13,893.16

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Solution

The fourth proportional to 27,029.32, 40,564.86 and 13,893.16 is: 20,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.32 : 40,564.86 = 13,893.16 : x
  2. Step 2: Convert to fraction form
    27,029.32/40,564.86 = 13,893.16/x
  3. Step 3: Cross multiply
    27,029.32x = 40,564.86 × 13,893.16
  4. Step 4: Simplify right side
    27,029.32x = 563,574,090.36
  5. Step 5: Solve for x
    x = 563,574,090.36/27,029.32
  6. Step 6: Final answer
    x = 20,850.47

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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.