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Finding the Fourth Proportional to 12,357.98, 18,533.15 and 4,459.47

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Solution

The fourth proportional to 12,357.98, 18,533.15 and 4,459.47 is: 6,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.98 : 18,533.15 = 4,459.47 : x
  2. Step 2: Convert to fraction form
    12,357.98/18,533.15 = 4,459.47/x
  3. Step 3: Cross multiply
    12,357.98x = 18,533.15 × 4,459.47
  4. Step 4: Simplify right side
    12,357.98x = 82,648,004.13
  5. Step 5: Solve for x
    x = 82,648,004.13/12,357.98
  6. Step 6: Final answer
    x = 6,687.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.