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Finding the Fourth Proportional to 25,792.51, 38,676 and 9,150.05

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Solution

The fourth proportional to 25,792.51, 38,676 and 9,150.05 is: 13,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.51 : 38,676 = 9,150.05 : x
  2. Step 2: Convert to fraction form
    25,792.51/38,676 = 9,150.05/x
  3. Step 3: Cross multiply
    25,792.51x = 38,676 × 9,150.05
  4. Step 4: Simplify right side
    25,792.51x = 353,887,140.42
  5. Step 5: Solve for x
    x = 353,887,140.42/25,792.51
  6. Step 6: Final answer
    x = 13,720.54

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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.