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Finding the Fourth Proportional to 12,924.24, 19,466.24 and 12,302.16

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Solution

The fourth proportional to 12,924.24, 19,466.24 and 12,302.16 is: 18,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.24 : 19,466.24 = 12,302.16 : x
  2. Step 2: Convert to fraction form
    12,924.24/19,466.24 = 12,302.16/x
  3. Step 3: Cross multiply
    12,924.24x = 19,466.24 × 12,302.16
  4. Step 4: Simplify right side
    12,924.24x = 239,476,799.08
  5. Step 5: Solve for x
    x = 239,476,799.08/12,924.24
  6. Step 6: Final answer
    x = 18,529.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.