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Finding the Fourth Proportional to 24,509.94, 33,813.90 and 14,422.38

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Solution

The fourth proportional to 24,509.94, 33,813.90 and 14,422.38 is: 19,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.94 : 33,813.90 = 14,422.38 : x
  2. Step 2: Convert to fraction form
    24,509.94/33,813.90 = 14,422.38/x
  3. Step 3: Cross multiply
    24,509.94x = 33,813.90 × 14,422.38
  4. Step 4: Simplify right side
    24,509.94x = 487,676,915.08
  5. Step 5: Solve for x
    x = 487,676,915.08/24,509.94
  6. Step 6: Final answer
    x = 19,897.11

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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.