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Finding the Fourth Proportional to 17,184.74, 25,773 and 12,559.23

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Solution

The fourth proportional to 17,184.74, 25,773 and 12,559.23 is: 18,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.74 : 25,773 = 12,559.23 : x
  2. Step 2: Convert to fraction form
    17,184.74/25,773 = 12,559.23/x
  3. Step 3: Cross multiply
    17,184.74x = 25,773 × 12,559.23
  4. Step 4: Simplify right side
    17,184.74x = 323,689,034.79
  5. Step 5: Solve for x
    x = 323,689,034.79/17,184.74
  6. Step 6: Final answer
    x = 18,835.84

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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.