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Finding the Fourth Proportional to 28,431.12, 42,646.68 and 9,958.80

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Solution

The fourth proportional to 28,431.12, 42,646.68 and 9,958.80 is: 14,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.12 : 42,646.68 = 9,958.80 : x
  2. Step 2: Convert to fraction form
    28,431.12/42,646.68 = 9,958.80/x
  3. Step 3: Cross multiply
    28,431.12x = 42,646.68 × 9,958.80
  4. Step 4: Simplify right side
    28,431.12x = 424,709,756.78
  5. Step 5: Solve for x
    x = 424,709,756.78/28,431.12
  6. Step 6: Final answer
    x = 14,938.20

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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.