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Finding the Fourth Proportional to 12,347.37, 18,510.12 and 9,438.66

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Solution

The fourth proportional to 12,347.37, 18,510.12 and 9,438.66 is: 14,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.37 : 18,510.12 = 9,438.66 : x
  2. Step 2: Convert to fraction form
    12,347.37/18,510.12 = 9,438.66/x
  3. Step 3: Cross multiply
    12,347.37x = 18,510.12 × 9,438.66
  4. Step 4: Simplify right side
    12,347.37x = 174,710,729.24
  5. Step 5: Solve for x
    x = 174,710,729.24/12,347.37
  6. Step 6: Final answer
    x = 14,149.63

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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.