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Finding the Fourth Proportional to 16,538.83, 24,818.08 and 6,009.67

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Solution

The fourth proportional to 16,538.83, 24,818.08 and 6,009.67 is: 9,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.83 : 24,818.08 = 6,009.67 : x
  2. Step 2: Convert to fraction form
    16,538.83/24,818.08 = 6,009.67/x
  3. Step 3: Cross multiply
    16,538.83x = 24,818.08 × 6,009.67
  4. Step 4: Simplify right side
    16,538.83x = 149,148,393.76
  5. Step 5: Solve for x
    x = 149,148,393.76/16,538.83
  6. Step 6: Final answer
    x = 9,018.08

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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.