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Finding the Fourth Proportional to 12,946.44, 17,859.88 and 7,637.68

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Solution

The fourth proportional to 12,946.44, 17,859.88 and 7,637.68 is: 10,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.44 : 17,859.88 = 7,637.68 : x
  2. Step 2: Convert to fraction form
    12,946.44/17,859.88 = 7,637.68/x
  3. Step 3: Cross multiply
    12,946.44x = 17,859.88 × 7,637.68
  4. Step 4: Simplify right side
    12,946.44x = 136,408,048.28
  5. Step 5: Solve for x
    x = 136,408,048.28/12,946.44
  6. Step 6: Final answer
    x = 10,536.34

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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.