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Finding the Fourth Proportional to 16,358.15, 22,574.36 and 9,284.69

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Solution

The fourth proportional to 16,358.15, 22,574.36 and 9,284.69 is: 12,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.15 : 22,574.36 = 9,284.69 : x
  2. Step 2: Convert to fraction form
    16,358.15/22,574.36 = 9,284.69/x
  3. Step 3: Cross multiply
    16,358.15x = 22,574.36 × 9,284.69
  4. Step 4: Simplify right side
    16,358.15x = 209,595,934.55
  5. Step 5: Solve for x
    x = 209,595,934.55/16,358.15
  6. Step 6: Final answer
    x = 12,812.94

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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.