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Finding the Fourth Proportional to 26,830.64, 40,242.09 and 9,058.08

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Solution

The fourth proportional to 26,830.64, 40,242.09 and 9,058.08 is: 13,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.64 : 40,242.09 = 9,058.08 : x
  2. Step 2: Convert to fraction form
    26,830.64/40,242.09 = 9,058.08/x
  3. Step 3: Cross multiply
    26,830.64x = 40,242.09 × 9,058.08
  4. Step 4: Simplify right side
    26,830.64x = 364,515,824.09
  5. Step 5: Solve for x
    x = 364,515,824.09/26,830.64
  6. Step 6: Final answer
    x = 13,585.80

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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.