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Finding the Fourth Proportional to 16,139.76, 24,195.54 and 13,014.24

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Solution

The fourth proportional to 16,139.76, 24,195.54 and 13,014.24 is: 19,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.76 : 24,195.54 = 13,014.24 : x
  2. Step 2: Convert to fraction form
    16,139.76/24,195.54 = 13,014.24/x
  3. Step 3: Cross multiply
    16,139.76x = 24,195.54 × 13,014.24
  4. Step 4: Simplify right side
    16,139.76x = 314,886,564.49
  5. Step 5: Solve for x
    x = 314,886,564.49/16,139.76
  6. Step 6: Final answer
    x = 19,509.99

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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.