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Finding the Fourth Proportional to 35,586.97, 53,362.32 and 11,886

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Solution

The fourth proportional to 35,586.97, 53,362.32 and 11,886 is: 17,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586.97 : 53,362.32 = 11,886 : x
  2. Step 2: Convert to fraction form
    35,586.97/53,362.32 = 11,886/x
  3. Step 3: Cross multiply
    35,586.97x = 53,362.32 × 11,886
  4. Step 4: Simplify right side
    35,586.97x = 634,264,535.52
  5. Step 5: Solve for x
    x = 634,264,535.52/35,586.97
  6. Step 6: Final answer
    x = 17,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.