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Finding the Fourth Proportional to 16,374.52, 22,596.04 and 9,300

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Solution

The fourth proportional to 16,374.52, 22,596.04 and 9,300 is: 12,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.52 : 22,596.04 = 9,300 : x
  2. Step 2: Convert to fraction form
    16,374.52/22,596.04 = 9,300/x
  3. Step 3: Cross multiply
    16,374.52x = 22,596.04 × 9,300
  4. Step 4: Simplify right side
    16,374.52x = 210,143,172
  5. Step 5: Solve for x
    x = 210,143,172/16,374.52
  6. Step 6: Final answer
    x = 12,833.55

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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.