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Finding the Fourth Proportional to 16,426, 22,667.88 and 8,974

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Solution

The fourth proportional to 16,426, 22,667.88 and 8,974 is: 12,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426 : 22,667.88 = 8,974 : x
  2. Step 2: Convert to fraction form
    16,426/22,667.88 = 8,974/x
  3. Step 3: Cross multiply
    16,426x = 22,667.88 × 8,974
  4. Step 4: Simplify right side
    16,426x = 203,421,555.12
  5. Step 5: Solve for x
    x = 203,421,555.12/16,426
  6. Step 6: Final answer
    x = 12,384.12

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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.