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Finding the Fourth Proportional to 27,026.94, 40,559.54 and 9,498.14

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Solution

The fourth proportional to 27,026.94, 40,559.54 and 9,498.14 is: 14,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.94 : 40,559.54 = 9,498.14 : x
  2. Step 2: Convert to fraction form
    27,026.94/40,559.54 = 9,498.14/x
  3. Step 3: Cross multiply
    27,026.94x = 40,559.54 × 9,498.14
  4. Step 4: Simplify right side
    27,026.94x = 385,240,189.26
  5. Step 5: Solve for x
    x = 385,240,189.26/27,026.94
  6. Step 6: Final answer
    x = 14,253.93

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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.