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Finding the Fourth Proportional to 12,483.81, 18,726.14 and 5,460.23

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Solution

The fourth proportional to 12,483.81, 18,726.14 and 5,460.23 is: 8,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.81 : 18,726.14 = 5,460.23 : x
  2. Step 2: Convert to fraction form
    12,483.81/18,726.14 = 5,460.23/x
  3. Step 3: Cross multiply
    12,483.81x = 18,726.14 × 5,460.23
  4. Step 4: Simplify right side
    12,483.81x = 102,249,031.41
  5. Step 5: Solve for x
    x = 102,249,031.41/12,483.81
  6. Step 6: Final answer
    x = 8,190.53

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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.