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Finding the Fourth Proportional to 12,437.84, 18,650.86 and 4,534.76

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Solution

The fourth proportional to 12,437.84, 18,650.86 and 4,534.76 is: 6,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.84 : 18,650.86 = 4,534.76 : x
  2. Step 2: Convert to fraction form
    12,437.84/18,650.86 = 4,534.76/x
  3. Step 3: Cross multiply
    12,437.84x = 18,650.86 × 4,534.76
  4. Step 4: Simplify right side
    12,437.84x = 84,577,173.89
  5. Step 5: Solve for x
    x = 84,577,173.89/12,437.84
  6. Step 6: Final answer
    x = 6,799.99

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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.