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Finding the Fourth Proportional to 28,241.50, 42,368.76 and 9,773.50

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Solution

The fourth proportional to 28,241.50, 42,368.76 and 9,773.50 is: 14,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,241.50 : 42,368.76 = 9,773.50 : x
  2. Step 2: Convert to fraction form
    28,241.50/42,368.76 = 9,773.50/x
  3. Step 3: Cross multiply
    28,241.50x = 42,368.76 × 9,773.50
  4. Step 4: Simplify right side
    28,241.50x = 414,091,075.86
  5. Step 5: Solve for x
    x = 414,091,075.86/28,241.50
  6. Step 6: Final answer
    x = 14,662.50

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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.