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Finding the Fourth Proportional to 15,310.46, 22,965.68 and 4,923.02

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Solution

The fourth proportional to 15,310.46, 22,965.68 and 4,923.02 is: 7,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.46 : 22,965.68 = 4,923.02 : x
  2. Step 2: Convert to fraction form
    15,310.46/22,965.68 = 4,923.02/x
  3. Step 3: Cross multiply
    15,310.46x = 22,965.68 × 4,923.02
  4. Step 4: Simplify right side
    15,310.46x = 113,060,362.51
  5. Step 5: Solve for x
    x = 113,060,362.51/15,310.46
  6. Step 6: Final answer
    x = 7,384.52

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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.