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Finding the Fourth Proportional to 12,409.98, 18,614.93 and 5,014.35

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Solution

The fourth proportional to 12,409.98, 18,614.93 and 5,014.35 is: 7,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.98 : 18,614.93 = 5,014.35 : x
  2. Step 2: Convert to fraction form
    12,409.98/18,614.93 = 5,014.35/x
  3. Step 3: Cross multiply
    12,409.98x = 18,614.93 × 5,014.35
  4. Step 4: Simplify right side
    12,409.98x = 93,341,774.25
  5. Step 5: Solve for x
    x = 93,341,774.25/12,409.98
  6. Step 6: Final answer
    x = 7,521.51

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