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Finding the Fourth Proportional to 12,554.63, 17,325.59 and 6,965.63

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Solution

The fourth proportional to 12,554.63, 17,325.59 and 6,965.63 is: 9,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.63 : 17,325.59 = 6,965.63 : x
  2. Step 2: Convert to fraction form
    12,554.63/17,325.59 = 6,965.63/x
  3. Step 3: Cross multiply
    12,554.63x = 17,325.59 × 6,965.63
  4. Step 4: Simplify right side
    12,554.63x = 120,683,649.47
  5. Step 5: Solve for x
    x = 120,683,649.47/12,554.63
  6. Step 6: Final answer
    x = 9,612.68

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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.