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Finding the Fourth Proportional to 16,409.95, 24,625.80 and 9,019.57

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Solution

The fourth proportional to 16,409.95, 24,625.80 and 9,019.57 is: 13,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.95 : 24,625.80 = 9,019.57 : x
  2. Step 2: Convert to fraction form
    16,409.95/24,625.80 = 9,019.57/x
  3. Step 3: Cross multiply
    16,409.95x = 24,625.80 × 9,019.57
  4. Step 4: Simplify right side
    16,409.95x = 222,114,126.91
  5. Step 5: Solve for x
    x = 222,114,126.91/16,409.95
  6. Step 6: Final answer
    x = 13,535.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.