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Finding the Fourth Proportional to 14,683.16, 20,266.44 and 9,019.28

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Solution

The fourth proportional to 14,683.16, 20,266.44 and 9,019.28 is: 12,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.16 : 20,266.44 = 9,019.28 : x
  2. Step 2: Convert to fraction form
    14,683.16/20,266.44 = 9,019.28/x
  3. Step 3: Cross multiply
    14,683.16x = 20,266.44 × 9,019.28
  4. Step 4: Simplify right side
    14,683.16x = 182,788,696.96
  5. Step 5: Solve for x
    x = 182,788,696.96/14,683.16
  6. Step 6: Final answer
    x = 12,448.87

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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.