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Finding the Fourth Proportional to 10,185.84, 15,178.74 and 9,851.40

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Solution

The fourth proportional to 10,185.84, 15,178.74 and 9,851.40 is: 14,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.84 : 15,178.74 = 9,851.40 : x
  2. Step 2: Convert to fraction form
    10,185.84/15,178.74 = 9,851.40/x
  3. Step 3: Cross multiply
    10,185.84x = 15,178.74 × 9,851.40
  4. Step 4: Simplify right side
    10,185.84x = 149,531,839.24
  5. Step 5: Solve for x
    x = 149,531,839.24/10,185.84
  6. Step 6: Final answer
    x = 14,680.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.