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Finding the Fourth Proportional to 18,907.12, 26,088.60 and 10,522

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Solution

The fourth proportional to 18,907.12, 26,088.60 and 10,522 is: 14,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,907.12 : 26,088.60 = 10,522 : x
  2. Step 2: Convert to fraction form
    18,907.12/26,088.60 = 10,522/x
  3. Step 3: Cross multiply
    18,907.12x = 26,088.60 × 10,522
  4. Step 4: Simplify right side
    18,907.12x = 274,504,249.20
  5. Step 5: Solve for x
    x = 274,504,249.20/18,907.12
  6. Step 6: Final answer
    x = 14,518.56

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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.