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Finding the Fourth Proportional to 23,835, 32,892.30 and 13,226.34

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Solution

The fourth proportional to 23,835, 32,892.30 and 13,226.34 is: 18,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835 : 32,892.30 = 13,226.34 : x
  2. Step 2: Convert to fraction form
    23,835/32,892.30 = 13,226.34/x
  3. Step 3: Cross multiply
    23,835x = 32,892.30 × 13,226.34
  4. Step 4: Simplify right side
    23,835x = 435,044,743.18
  5. Step 5: Solve for x
    x = 435,044,743.18/23,835
  6. Step 6: Final answer
    x = 18,252.35

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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.