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Finding the Fourth Proportional to 23,557, 35,338.76 and 6,914.70

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Solution

The fourth proportional to 23,557, 35,338.76 and 6,914.70 is: 10,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557 : 35,338.76 = 6,914.70 : x
  2. Step 2: Convert to fraction form
    23,557/35,338.76 = 6,914.70/x
  3. Step 3: Cross multiply
    23,557x = 35,338.76 × 6,914.70
  4. Step 4: Simplify right side
    23,557x = 244,356,923.77
  5. Step 5: Solve for x
    x = 244,356,923.77/23,557
  6. Step 6: Final answer
    x = 10,373.01

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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.