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Finding the Fourth Proportional to 20,336, 28,055.10 and 13,623.80

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Solution

The fourth proportional to 20,336, 28,055.10 and 13,623.80 is: 18,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336 : 28,055.10 = 13,623.80 : x
  2. Step 2: Convert to fraction form
    20,336/28,055.10 = 13,623.80/x
  3. Step 3: Cross multiply
    20,336x = 28,055.10 × 13,623.80
  4. Step 4: Simplify right side
    20,336x = 382,217,071.38
  5. Step 5: Solve for x
    x = 382,217,071.38/20,336
  6. Step 6: Final answer
    x = 18,795.10

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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.