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Finding the Fourth Proportional to 16,461.40, 24,697.86 and 4,775.32

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Solution

The fourth proportional to 16,461.40, 24,697.86 and 4,775.32 is: 7,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.40 : 24,697.86 = 4,775.32 : x
  2. Step 2: Convert to fraction form
    16,461.40/24,697.86 = 4,775.32/x
  3. Step 3: Cross multiply
    16,461.40x = 24,697.86 × 4,775.32
  4. Step 4: Simplify right side
    16,461.40x = 117,940,184.82
  5. Step 5: Solve for x
    x = 117,940,184.82/16,461.40
  6. Step 6: Final answer
    x = 7,164.65

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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.