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Finding the Fourth Proportional to 13,806.99, 19,041.08 and 9,022.59

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Solution

The fourth proportional to 13,806.99, 19,041.08 and 9,022.59 is: 12,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.99 : 19,041.08 = 9,022.59 : x
  2. Step 2: Convert to fraction form
    13,806.99/19,041.08 = 9,022.59/x
  3. Step 3: Cross multiply
    13,806.99x = 19,041.08 × 9,022.59
  4. Step 4: Simplify right side
    13,806.99x = 171,799,812.88
  5. Step 5: Solve for x
    x = 171,799,812.88/13,806.99
  6. Step 6: Final answer
    x = 12,442.96

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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.