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Finding the Fourth Proportional to 16,461.90, 24,698.61 and 4,775.82

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Solution

The fourth proportional to 16,461.90, 24,698.61 and 4,775.82 is: 7,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.90 : 24,698.61 = 4,775.82 : x
  2. Step 2: Convert to fraction form
    16,461.90/24,698.61 = 4,775.82/x
  3. Step 3: Cross multiply
    16,461.90x = 24,698.61 × 4,775.82
  4. Step 4: Simplify right side
    16,461.90x = 117,956,115.61
  5. Step 5: Solve for x
    x = 117,956,115.61/16,461.90
  6. Step 6: Final answer
    x = 7,165.40

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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.