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Finding the Fourth Proportional to 12,478.08, 17,210.88 and 8,493.12

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Solution

The fourth proportional to 12,478.08, 17,210.88 and 8,493.12 is: 11,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.08 : 17,210.88 = 8,493.12 : x
  2. Step 2: Convert to fraction form
    12,478.08/17,210.88 = 8,493.12/x
  3. Step 3: Cross multiply
    12,478.08x = 17,210.88 × 8,493.12
  4. Step 4: Simplify right side
    12,478.08x = 146,174,069.15
  5. Step 5: Solve for x
    x = 146,174,069.15/12,478.08
  6. Step 6: Final answer
    x = 11,714.47

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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.