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Finding the Fourth Proportional to 16,106.58, 24,156.23 and 7,344

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Solution

The fourth proportional to 16,106.58, 24,156.23 and 7,344 is: 11,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.58 : 24,156.23 = 7,344 : x
  2. Step 2: Convert to fraction form
    16,106.58/24,156.23 = 7,344/x
  3. Step 3: Cross multiply
    16,106.58x = 24,156.23 × 7,344
  4. Step 4: Simplify right side
    16,106.58x = 177,403,316.40
  5. Step 5: Solve for x
    x = 177,403,316.40/16,106.58
  6. Step 6: Final answer
    x = 11,014.34

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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.