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Finding the Fourth Proportional to 22,423.94, 33,647.50 and 9,952.57

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Solution

The fourth proportional to 22,423.94, 33,647.50 and 9,952.57 is: 14,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.94 : 33,647.50 = 9,952.57 : x
  2. Step 2: Convert to fraction form
    22,423.94/33,647.50 = 9,952.57/x
  3. Step 3: Cross multiply
    22,423.94x = 33,647.50 × 9,952.57
  4. Step 4: Simplify right side
    22,423.94x = 334,879,153.58
  5. Step 5: Solve for x
    x = 334,879,153.58/22,423.94
  6. Step 6: Final answer
    x = 14,934.00

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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.