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Finding the Fourth Proportional to 14,461.57, 19,968.29 and 11,099.07

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Solution

The fourth proportional to 14,461.57, 19,968.29 and 11,099.07 is: 15,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.57 : 19,968.29 = 11,099.07 : x
  2. Step 2: Convert to fraction form
    14,461.57/19,968.29 = 11,099.07/x
  3. Step 3: Cross multiply
    14,461.57x = 19,968.29 × 11,099.07
  4. Step 4: Simplify right side
    14,461.57x = 221,629,448.49
  5. Step 5: Solve for x
    x = 221,629,448.49/14,461.57
  6. Step 6: Final answer
    x = 15,325.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.