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Finding the Fourth Proportional to 12,347.50, 18,521.26 and 3,113.50

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Solution

The fourth proportional to 12,347.50, 18,521.26 and 3,113.50 is: 4,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.50 : 18,521.26 = 3,113.50 : x
  2. Step 2: Convert to fraction form
    12,347.50/18,521.26 = 3,113.50/x
  3. Step 3: Cross multiply
    12,347.50x = 18,521.26 × 3,113.50
  4. Step 4: Simplify right side
    12,347.50x = 57,665,943.01
  5. Step 5: Solve for x
    x = 57,665,943.01/12,347.50
  6. Step 6: Final answer
    x = 4,670.25

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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.