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Finding the Fourth Proportional to 16,503.24, 22,774.06 and 9,429.06

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Solution

The fourth proportional to 16,503.24, 22,774.06 and 9,429.06 is: 13,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.24 : 22,774.06 = 9,429.06 : x
  2. Step 2: Convert to fraction form
    16,503.24/22,774.06 = 9,429.06/x
  3. Step 3: Cross multiply
    16,503.24x = 22,774.06 × 9,429.06
  4. Step 4: Simplify right side
    16,503.24x = 214,737,978.18
  5. Step 5: Solve for x
    x = 214,737,978.18/16,503.24
  6. Step 6: Final answer
    x = 13,011.87

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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.