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Finding the Fourth Proportional to 12,353.58, 18,534.42 and 4,563

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Solution

The fourth proportional to 12,353.58, 18,534.42 and 4,563 is: 6,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.58 : 18,534.42 = 4,563 : x
  2. Step 2: Convert to fraction form
    12,353.58/18,534.42 = 4,563/x
  3. Step 3: Cross multiply
    12,353.58x = 18,534.42 × 4,563
  4. Step 4: Simplify right side
    12,353.58x = 84,572,558.46
  5. Step 5: Solve for x
    x = 84,572,558.46/12,353.58
  6. Step 6: Final answer
    x = 6,846.00

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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.