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Finding the Fourth Proportional to 12,648.96, 17,456.55 and 9,307.11

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Solution

The fourth proportional to 12,648.96, 17,456.55 and 9,307.11 is: 12,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.96 : 17,456.55 = 9,307.11 : x
  2. Step 2: Convert to fraction form
    12,648.96/17,456.55 = 9,307.11/x
  3. Step 3: Cross multiply
    12,648.96x = 17,456.55 × 9,307.11
  4. Step 4: Simplify right side
    12,648.96x = 162,470,031.07
  5. Step 5: Solve for x
    x = 162,470,031.07/12,648.96
  6. Step 6: Final answer
    x = 12,844.54

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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.