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Finding the Fourth Proportional to 26,147.94, 36,083.28 and 14,211

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Solution

The fourth proportional to 26,147.94, 36,083.28 and 14,211 is: 19,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,147.94 : 36,083.28 = 14,211 : x
  2. Step 2: Convert to fraction form
    26,147.94/36,083.28 = 14,211/x
  3. Step 3: Cross multiply
    26,147.94x = 36,083.28 × 14,211
  4. Step 4: Simplify right side
    26,147.94x = 512,779,492.08
  5. Step 5: Solve for x
    x = 512,779,492.08/26,147.94
  6. Step 6: Final answer
    x = 19,610.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.