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Finding the Fourth Proportional to 16,184.29, 22,334.06 and 9,014.01

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Solution

The fourth proportional to 16,184.29, 22,334.06 and 9,014.01 is: 12,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.29 : 22,334.06 = 9,014.01 : x
  2. Step 2: Convert to fraction form
    16,184.29/22,334.06 = 9,014.01/x
  3. Step 3: Cross multiply
    16,184.29x = 22,334.06 × 9,014.01
  4. Step 4: Simplify right side
    16,184.29x = 201,319,395.11
  5. Step 5: Solve for x
    x = 201,319,395.11/16,184.29
  6. Step 6: Final answer
    x = 12,439.19

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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.