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Finding the Fourth Proportional to 12,563, 17,338.54 and 7,595

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Solution

The fourth proportional to 12,563, 17,338.54 and 7,595 is: 10,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563 : 17,338.54 = 7,595 : x
  2. Step 2: Convert to fraction form
    12,563/17,338.54 = 7,595/x
  3. Step 3: Cross multiply
    12,563x = 17,338.54 × 7,595
  4. Step 4: Simplify right side
    12,563x = 131,686,211.30
  5. Step 5: Solve for x
    x = 131,686,211.30/12,563
  6. Step 6: Final answer
    x = 10,482.07

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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.