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Finding the Fourth Proportional to 12,096.84, 16,693.64 and 7,061.28

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Solution

The fourth proportional to 12,096.84, 16,693.64 and 7,061.28 is: 9,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.84 : 16,693.64 = 7,061.28 : x
  2. Step 2: Convert to fraction form
    12,096.84/16,693.64 = 7,061.28/x
  3. Step 3: Cross multiply
    12,096.84x = 16,693.64 × 7,061.28
  4. Step 4: Simplify right side
    12,096.84x = 117,878,434.55
  5. Step 5: Solve for x
    x = 117,878,434.55/12,096.84
  6. Step 6: Final answer
    x = 9,744.56

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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.