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Finding the Fourth Proportional to 16,507.25, 22,780.05 and 9,433.66

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Solution

The fourth proportional to 16,507.25, 22,780.05 and 9,433.66 is: 13,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.25 : 22,780.05 = 9,433.66 : x
  2. Step 2: Convert to fraction form
    16,507.25/22,780.05 = 9,433.66/x
  3. Step 3: Cross multiply
    16,507.25x = 22,780.05 × 9,433.66
  4. Step 4: Simplify right side
    16,507.25x = 214,899,085.41
  5. Step 5: Solve for x
    x = 214,899,085.41/16,507.25
  6. Step 6: Final answer
    x = 13,018.47

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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.