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Finding the Fourth Proportional to 26,153.34, 39,237.60 and 9,513

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Solution

The fourth proportional to 26,153.34, 39,237.60 and 9,513 is: 14,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153.34 : 39,237.60 = 9,513 : x
  2. Step 2: Convert to fraction form
    26,153.34/39,237.60 = 9,513/x
  3. Step 3: Cross multiply
    26,153.34x = 39,237.60 × 9,513
  4. Step 4: Simplify right side
    26,153.34x = 373,267,288.80
  5. Step 5: Solve for x
    x = 373,267,288.80/26,153.34
  6. Step 6: Final answer
    x = 14,272.26

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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.