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Finding the Fourth Proportional to 16,533.48, 22,809.74 and 9,456.12

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Solution

The fourth proportional to 16,533.48, 22,809.74 and 9,456.12 is: 13,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.48 : 22,809.74 = 9,456.12 : x
  2. Step 2: Convert to fraction form
    16,533.48/22,809.74 = 9,456.12/x
  3. Step 3: Cross multiply
    16,533.48x = 22,809.74 × 9,456.12
  4. Step 4: Simplify right side
    16,533.48x = 215,691,638.61
  5. Step 5: Solve for x
    x = 215,691,638.61/16,533.48
  6. Step 6: Final answer
    x = 13,045.75

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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.