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Finding the Fourth Proportional to 23,955.66, 35,934.98 and 7,315.70

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Solution

The fourth proportional to 23,955.66, 35,934.98 and 7,315.70 is: 10,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,955.66 : 35,934.98 = 7,315.70 : x
  2. Step 2: Convert to fraction form
    23,955.66/35,934.98 = 7,315.70/x
  3. Step 3: Cross multiply
    23,955.66x = 35,934.98 × 7,315.70
  4. Step 4: Simplify right side
    23,955.66x = 262,889,316.93
  5. Step 5: Solve for x
    x = 262,889,316.93/23,955.66
  6. Step 6: Final answer
    x = 10,974.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.