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Finding the Fourth Proportional to 12,534.50, 18,803.02 and 4,639.10

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Solution

The fourth proportional to 12,534.50, 18,803.02 and 4,639.10 is: 6,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.50 : 18,803.02 = 4,639.10 : x
  2. Step 2: Convert to fraction form
    12,534.50/18,803.02 = 4,639.10/x
  3. Step 3: Cross multiply
    12,534.50x = 18,803.02 × 4,639.10
  4. Step 4: Simplify right side
    12,534.50x = 87,229,090.08
  5. Step 5: Solve for x
    x = 87,229,090.08/12,534.50
  6. Step 6: Final answer
    x = 6,959.12

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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.