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Finding the Fourth Proportional to 12,005.53, 16,569.12 and 6,968.67

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Solution

The fourth proportional to 12,005.53, 16,569.12 and 6,968.67 is: 9,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.53 : 16,569.12 = 6,968.67 : x
  2. Step 2: Convert to fraction form
    12,005.53/16,569.12 = 6,968.67/x
  3. Step 3: Cross multiply
    12,005.53x = 16,569.12 × 6,968.67
  4. Step 4: Simplify right side
    12,005.53x = 115,464,693.47
  5. Step 5: Solve for x
    x = 115,464,693.47/12,005.53
  6. Step 6: Final answer
    x = 9,617.63

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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.