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Finding the Fourth Proportional to 28,536.68, 42,810.86 and 9,814.28

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Solution

The fourth proportional to 28,536.68, 42,810.86 and 9,814.28 is: 14,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,536.68 : 42,810.86 = 9,814.28 : x
  2. Step 2: Convert to fraction form
    28,536.68/42,810.86 = 9,814.28/x
  3. Step 3: Cross multiply
    28,536.68x = 42,810.86 × 9,814.28
  4. Step 4: Simplify right side
    28,536.68x = 420,157,503.96
  5. Step 5: Solve for x
    x = 420,157,503.96/28,536.68
  6. Step 6: Final answer
    x = 14,723.42

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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.