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Finding the Fourth Proportional to 16,071.40, 24,074.70 and 9,137.80

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Solution

The fourth proportional to 16,071.40, 24,074.70 and 9,137.80 is: 13,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.40 : 24,074.70 = 9,137.80 : x
  2. Step 2: Convert to fraction form
    16,071.40/24,074.70 = 9,137.80/x
  3. Step 3: Cross multiply
    16,071.40x = 24,074.70 × 9,137.80
  4. Step 4: Simplify right side
    16,071.40x = 219,989,793.66
  5. Step 5: Solve for x
    x = 219,989,793.66/16,071.40
  6. Step 6: Final answer
    x = 13,688.28

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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.