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Finding the Fourth Proportional to 16,683.84, 25,012.80 and 9,750.24

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Solution

The fourth proportional to 16,683.84, 25,012.80 and 9,750.24 is: 14,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.84 : 25,012.80 = 9,750.24 : x
  2. Step 2: Convert to fraction form
    16,683.84/25,012.80 = 9,750.24/x
  3. Step 3: Cross multiply
    16,683.84x = 25,012.80 × 9,750.24
  4. Step 4: Simplify right side
    16,683.84x = 243,880,803.07
  5. Step 5: Solve for x
    x = 243,880,803.07/16,683.84
  6. Step 6: Final answer
    x = 14,617.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.