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Finding the Fourth Proportional to 16,433.40, 22,678.30 and 9,359.84

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Solution

The fourth proportional to 16,433.40, 22,678.30 and 9,359.84 is: 12,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.40 : 22,678.30 = 9,359.84 : x
  2. Step 2: Convert to fraction form
    16,433.40/22,678.30 = 9,359.84/x
  3. Step 3: Cross multiply
    16,433.40x = 22,678.30 × 9,359.84
  4. Step 4: Simplify right side
    16,433.40x = 212,265,259.47
  5. Step 5: Solve for x
    x = 212,265,259.47/16,433.40
  6. Step 6: Final answer
    x = 12,916.70

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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.