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Finding the Fourth Proportional to 28,289.40, 42,424.26 and 14,244

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Solution

The fourth proportional to 28,289.40, 42,424.26 and 14,244 is: 21,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289.40 : 42,424.26 = 14,244 : x
  2. Step 2: Convert to fraction form
    28,289.40/42,424.26 = 14,244/x
  3. Step 3: Cross multiply
    28,289.40x = 42,424.26 × 14,244
  4. Step 4: Simplify right side
    28,289.40x = 604,291,159.44
  5. Step 5: Solve for x
    x = 604,291,159.44/28,289.40
  6. Step 6: Final answer
    x = 21,361.05

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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.