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Finding the Fourth Proportional to 16,280.70, 24,429.15 and 9,266.10

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Solution

The fourth proportional to 16,280.70, 24,429.15 and 9,266.10 is: 13,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.70 : 24,429.15 = 9,266.10 : x
  2. Step 2: Convert to fraction form
    16,280.70/24,429.15 = 9,266.10/x
  3. Step 3: Cross multiply
    16,280.70x = 24,429.15 × 9,266.10
  4. Step 4: Simplify right side
    16,280.70x = 226,362,946.82
  5. Step 5: Solve for x
    x = 226,362,946.82/16,280.70
  6. Step 6: Final answer
    x = 13,903.76

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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.