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Finding the Fourth Proportional to 16,358.40, 22,574.70 and 9,284.94

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Solution

The fourth proportional to 16,358.40, 22,574.70 and 9,284.94 is: 12,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.40 : 22,574.70 = 9,284.94 : x
  2. Step 2: Convert to fraction form
    16,358.40/22,574.70 = 9,284.94/x
  3. Step 3: Cross multiply
    16,358.40x = 22,574.70 × 9,284.94
  4. Step 4: Simplify right side
    16,358.40x = 209,604,735.02
  5. Step 5: Solve for x
    x = 209,604,735.02/16,358.40
  6. Step 6: Final answer
    x = 12,813.28

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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.