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Finding the Fourth Proportional to 14,585.68, 20,119.84 and 9,206.20

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Solution

The fourth proportional to 14,585.68, 20,119.84 and 9,206.20 is: 12,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.68 : 20,119.84 = 9,206.20 : x
  2. Step 2: Convert to fraction form
    14,585.68/20,119.84 = 9,206.20/x
  3. Step 3: Cross multiply
    14,585.68x = 20,119.84 × 9,206.20
  4. Step 4: Simplify right side
    14,585.68x = 185,227,271.01
  5. Step 5: Solve for x
    x = 185,227,271.01/14,585.68
  6. Step 6: Final answer
    x = 12,699.26

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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.