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Finding the Fourth Proportional to 14,506.90, 20,019.34 and 8,133.46

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Solution

The fourth proportional to 14,506.90, 20,019.34 and 8,133.46 is: 11,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.90 : 20,019.34 = 8,133.46 : x
  2. Step 2: Convert to fraction form
    14,506.90/20,019.34 = 8,133.46/x
  3. Step 3: Cross multiply
    14,506.90x = 20,019.34 × 8,133.46
  4. Step 4: Simplify right side
    14,506.90x = 162,826,501.12
  5. Step 5: Solve for x
    x = 162,826,501.12/14,506.90
  6. Step 6: Final answer
    x = 11,224.07

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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.