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Finding the Fourth Proportional to 25,767, 35,558.50 and 14,591.16

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Solution

The fourth proportional to 25,767, 35,558.50 and 14,591.16 is: 20,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767 : 35,558.50 = 14,591.16 : x
  2. Step 2: Convert to fraction form
    25,767/35,558.50 = 14,591.16/x
  3. Step 3: Cross multiply
    25,767x = 35,558.50 × 14,591.16
  4. Step 4: Simplify right side
    25,767x = 518,839,762.86
  5. Step 5: Solve for x
    x = 518,839,762.86/25,767
  6. Step 6: Final answer
    x = 20,135.82

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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.