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Finding the Fourth Proportional to 17,730.50, 24,467.98 and 9,772.74

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Solution

The fourth proportional to 17,730.50, 24,467.98 and 9,772.74 is: 13,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.50 : 24,467.98 = 9,772.74 : x
  2. Step 2: Convert to fraction form
    17,730.50/24,467.98 = 9,772.74/x
  3. Step 3: Cross multiply
    17,730.50x = 24,467.98 × 9,772.74
  4. Step 4: Simplify right side
    17,730.50x = 239,119,206.87
  5. Step 5: Solve for x
    x = 239,119,206.87/17,730.50
  6. Step 6: Final answer
    x = 13,486.32

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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.