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Finding the Fourth Proportional to 12,655.61, 17,464.87 and 6,990.50

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Solution

The fourth proportional to 12,655.61, 17,464.87 and 6,990.50 is: 9,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.61 : 17,464.87 = 6,990.50 : x
  2. Step 2: Convert to fraction form
    12,655.61/17,464.87 = 6,990.50/x
  3. Step 3: Cross multiply
    12,655.61x = 17,464.87 × 6,990.50
  4. Step 4: Simplify right side
    12,655.61x = 122,088,086.41
  5. Step 5: Solve for x
    x = 122,088,086.41/12,655.61
  6. Step 6: Final answer
    x = 9,646.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.