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Finding the Fourth Proportional to 17,836, 24,615.12 and 10,385.44

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Solution

The fourth proportional to 17,836, 24,615.12 and 10,385.44 is: 14,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836 : 24,615.12 = 10,385.44 : x
  2. Step 2: Convert to fraction form
    17,836/24,615.12 = 10,385.44/x
  3. Step 3: Cross multiply
    17,836x = 24,615.12 × 10,385.44
  4. Step 4: Simplify right side
    17,836x = 255,638,851.85
  5. Step 5: Solve for x
    x = 255,638,851.85/17,836
  6. Step 6: Final answer
    x = 14,332.75

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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.