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Finding the Fourth Proportional to 16,184.34, 22,309.02 and 14,828.40

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Solution

The fourth proportional to 16,184.34, 22,309.02 and 14,828.40 is: 20,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.34 : 22,309.02 = 14,828.40 : x
  2. Step 2: Convert to fraction form
    16,184.34/22,309.02 = 14,828.40/x
  3. Step 3: Cross multiply
    16,184.34x = 22,309.02 × 14,828.40
  4. Step 4: Simplify right side
    16,184.34x = 330,807,072.17
  5. Step 5: Solve for x
    x = 330,807,072.17/16,184.34
  6. Step 6: Final answer
    x = 20,439.95

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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.