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Finding the Fourth Proportional to 23,036.68, 31,771.02 and 18,559

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Solution

The fourth proportional to 23,036.68, 31,771.02 and 18,559 is: 25,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036.68 : 31,771.02 = 18,559 : x
  2. Step 2: Convert to fraction form
    23,036.68/31,771.02 = 18,559/x
  3. Step 3: Cross multiply
    23,036.68x = 31,771.02 × 18,559
  4. Step 4: Simplify right side
    23,036.68x = 589,638,360.18
  5. Step 5: Solve for x
    x = 589,638,360.18/23,036.68
  6. Step 6: Final answer
    x = 25,595.63

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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.