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Finding the Fourth Proportional to 12,652.95, 18,991.04 and 6,417.30

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Solution

The fourth proportional to 12,652.95, 18,991.04 and 6,417.30 is: 9,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.95 : 18,991.04 = 6,417.30 : x
  2. Step 2: Convert to fraction form
    12,652.95/18,991.04 = 6,417.30/x
  3. Step 3: Cross multiply
    12,652.95x = 18,991.04 × 6,417.30
  4. Step 4: Simplify right side
    12,652.95x = 121,871,168.91
  5. Step 5: Solve for x
    x = 121,871,168.91/12,652.95
  6. Step 6: Final answer
    x = 9,631.84

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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.