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Finding the Fourth Proportional to 12,635.84, 17,442.72 and 9,004.16

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Solution

The fourth proportional to 12,635.84, 17,442.72 and 9,004.16 is: 12,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.84 : 17,442.72 = 9,004.16 : x
  2. Step 2: Convert to fraction form
    12,635.84/17,442.72 = 9,004.16/x
  3. Step 3: Cross multiply
    12,635.84x = 17,442.72 × 9,004.16
  4. Step 4: Simplify right side
    12,635.84x = 157,057,041.72
  5. Step 5: Solve for x
    x = 157,057,041.72/12,635.84
  6. Step 6: Final answer
    x = 12,429.49

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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.