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Finding the Fourth Proportional to 18,814.76, 28,222.74 and 6,971.50

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Solution

The fourth proportional to 18,814.76, 28,222.74 and 6,971.50 is: 10,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814.76 : 28,222.74 = 6,971.50 : x
  2. Step 2: Convert to fraction form
    18,814.76/28,222.74 = 6,971.50/x
  3. Step 3: Cross multiply
    18,814.76x = 28,222.74 × 6,971.50
  4. Step 4: Simplify right side
    18,814.76x = 196,754,655.94
  5. Step 5: Solve for x
    x = 196,754,655.94/18,814.76
  6. Step 6: Final answer
    x = 10,457.46

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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.