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Finding the Fourth Proportional to 24,497.58, 33,823.35 and 16,443.30

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Solution

The fourth proportional to 24,497.58, 33,823.35 and 16,443.30 is: 22,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.58 : 33,823.35 = 16,443.30 : x
  2. Step 2: Convert to fraction form
    24,497.58/33,823.35 = 16,443.30/x
  3. Step 3: Cross multiply
    24,497.58x = 33,823.35 × 16,443.30
  4. Step 4: Simplify right side
    24,497.58x = 556,167,491.06
  5. Step 5: Solve for x
    x = 556,167,491.06/24,497.58
  6. Step 6: Final answer
    x = 22,702.96

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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.