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Finding the Fourth Proportional to 12,657, 17,467.74 and 7,069.08

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Solution

The fourth proportional to 12,657, 17,467.74 and 7,069.08 is: 9,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657 : 17,467.74 = 7,069.08 : x
  2. Step 2: Convert to fraction form
    12,657/17,467.74 = 7,069.08/x
  3. Step 3: Cross multiply
    12,657x = 17,467.74 × 7,069.08
  4. Step 4: Simplify right side
    12,657x = 123,480,851.48
  5. Step 5: Solve for x
    x = 123,480,851.48/12,657
  6. Step 6: Final answer
    x = 9,755.93

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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.