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Finding the Fourth Proportional to 25,718.51, 38,580.50 and 8,184.24

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Solution

The fourth proportional to 25,718.51, 38,580.50 and 8,184.24 is: 12,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.51 : 38,580.50 = 8,184.24 : x
  2. Step 2: Convert to fraction form
    25,718.51/38,580.50 = 8,184.24/x
  3. Step 3: Cross multiply
    25,718.51x = 38,580.50 × 8,184.24
  4. Step 4: Simplify right side
    25,718.51x = 315,751,837.50
  5. Step 5: Solve for x
    x = 315,751,837.50/25,718.51
  6. Step 6: Final answer
    x = 12,277.22

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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.