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Finding the Fourth Proportional to 27,354, 37,739.10 and 16,602.26

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Solution

The fourth proportional to 27,354, 37,739.10 and 16,602.26 is: 22,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354 : 37,739.10 = 16,602.26 : x
  2. Step 2: Convert to fraction form
    27,354/37,739.10 = 16,602.26/x
  3. Step 3: Cross multiply
    27,354x = 37,739.10 × 16,602.26
  4. Step 4: Simplify right side
    27,354x = 626,554,267.35
  5. Step 5: Solve for x
    x = 626,554,267.35/27,354
  6. Step 6: Final answer
    x = 22,905.40

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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.