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Finding the Fourth Proportional to 14,051.57, 19,393.86 and 9,022.15

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Solution

The fourth proportional to 14,051.57, 19,393.86 and 9,022.15 is: 12,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.57 : 19,393.86 = 9,022.15 : x
  2. Step 2: Convert to fraction form
    14,051.57/19,393.86 = 9,022.15/x
  3. Step 3: Cross multiply
    14,051.57x = 19,393.86 × 9,022.15
  4. Step 4: Simplify right side
    14,051.57x = 174,974,372.07
  5. Step 5: Solve for x
    x = 174,974,372.07/14,051.57
  6. Step 6: Final answer
    x = 12,452.30

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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.