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Finding the Fourth Proportional to 24,928, 34,400.64 and 13,750

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Solution

The fourth proportional to 24,928, 34,400.64 and 13,750 is: 18,975

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928 : 34,400.64 = 13,750 : x
  2. Step 2: Convert to fraction form
    24,928/34,400.64 = 13,750/x
  3. Step 3: Cross multiply
    24,928x = 34,400.64 × 13,750
  4. Step 4: Simplify right side
    24,928x = 473,008,800
  5. Step 5: Solve for x
    x = 473,008,800/24,928
  6. Step 6: Final answer
    x = 18,975

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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.