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Finding the Fourth Proportional to 15,896.43, 23,844.76 and 4,803.08

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Solution

The fourth proportional to 15,896.43, 23,844.76 and 4,803.08 is: 7,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.43 : 23,844.76 = 4,803.08 : x
  2. Step 2: Convert to fraction form
    15,896.43/23,844.76 = 4,803.08/x
  3. Step 3: Cross multiply
    15,896.43x = 23,844.76 × 4,803.08
  4. Step 4: Simplify right side
    15,896.43x = 114,528,158.63
  5. Step 5: Solve for x
    x = 114,528,158.63/15,896.43
  6. Step 6: Final answer
    x = 7,204.65

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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.