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Finding the Fourth Proportional to 16,594.57, 22,900.50 and 9,142.57

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Solution

The fourth proportional to 16,594.57, 22,900.50 and 9,142.57 is: 12,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.57 : 22,900.50 = 9,142.57 : x
  2. Step 2: Convert to fraction form
    16,594.57/22,900.50 = 9,142.57/x
  3. Step 3: Cross multiply
    16,594.57x = 22,900.50 × 9,142.57
  4. Step 4: Simplify right side
    16,594.57x = 209,369,424.29
  5. Step 5: Solve for x
    x = 209,369,424.29/16,594.57
  6. Step 6: Final answer
    x = 12,616.74

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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.