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Finding the Fourth Proportional to 16,306.83, 24,456.33 and 7,533.32

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Solution

The fourth proportional to 16,306.83, 24,456.33 and 7,533.32 is: 11,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.83 : 24,456.33 = 7,533.32 : x
  2. Step 2: Convert to fraction form
    16,306.83/24,456.33 = 7,533.32/x
  3. Step 3: Cross multiply
    16,306.83x = 24,456.33 × 7,533.32
  4. Step 4: Simplify right side
    16,306.83x = 184,237,237.63
  5. Step 5: Solve for x
    x = 184,237,237.63/16,306.83
  6. Step 6: Final answer
    x = 11,298.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.