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Finding the Fourth Proportional to 12,457.54, 18,686.41 and 4,560.31

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Solution

The fourth proportional to 12,457.54, 18,686.41 and 4,560.31 is: 6,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.54 : 18,686.41 = 4,560.31 : x
  2. Step 2: Convert to fraction form
    12,457.54/18,686.41 = 4,560.31/x
  3. Step 3: Cross multiply
    12,457.54x = 18,686.41 × 4,560.31
  4. Step 4: Simplify right side
    12,457.54x = 85,215,729.23
  5. Step 5: Solve for x
    x = 85,215,729.23/12,457.54
  6. Step 6: Final answer
    x = 6,840.49

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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.