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Finding the Fourth Proportional to 25,782.08, 35,578.08 and 14,604.16

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Solution

The fourth proportional to 25,782.08, 35,578.08 and 14,604.16 is: 20,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.08 : 35,578.08 = 14,604.16 : x
  2. Step 2: Convert to fraction form
    25,782.08/35,578.08 = 14,604.16/x
  3. Step 3: Cross multiply
    25,782.08x = 35,578.08 × 14,604.16
  4. Step 4: Simplify right side
    25,782.08x = 519,587,972.81
  5. Step 5: Solve for x
    x = 519,587,972.81/25,782.08
  6. Step 6: Final answer
    x = 20,153.07

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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.