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Finding the Fourth Proportional to 16,396.34, 22,626.95 and 9,323.19

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Solution

The fourth proportional to 16,396.34, 22,626.95 and 9,323.19 is: 12,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.34 : 22,626.95 = 9,323.19 : x
  2. Step 2: Convert to fraction form
    16,396.34/22,626.95 = 9,323.19/x
  3. Step 3: Cross multiply
    16,396.34x = 22,626.95 × 9,323.19
  4. Step 4: Simplify right side
    16,396.34x = 210,955,307.35
  5. Step 5: Solve for x
    x = 210,955,307.35/16,396.34
  6. Step 6: Final answer
    x = 12,866.00

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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.