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Finding the Fourth Proportional to 12,032.76, 16,598.54 and 6,996.42

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Solution

The fourth proportional to 12,032.76, 16,598.54 and 6,996.42 is: 9,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.76 : 16,598.54 = 6,996.42 : x
  2. Step 2: Convert to fraction form
    12,032.76/16,598.54 = 6,996.42/x
  3. Step 3: Cross multiply
    12,032.76x = 16,598.54 × 6,996.42
  4. Step 4: Simplify right side
    12,032.76x = 116,130,410.73
  5. Step 5: Solve for x
    x = 116,130,410.73/12,032.76
  6. Step 6: Final answer
    x = 9,651.19

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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.