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Finding the Fourth Proportional to 28,431.90, 42,643.80 and 9,712.80

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Solution

The fourth proportional to 28,431.90, 42,643.80 and 9,712.80 is: 14,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.90 : 42,643.80 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    28,431.90/42,643.80 = 9,712.80/x
  3. Step 3: Cross multiply
    28,431.90x = 42,643.80 × 9,712.80
  4. Step 4: Simplify right side
    28,431.90x = 414,190,700.64
  5. Step 5: Solve for x
    x = 414,190,700.64/28,431.90
  6. Step 6: Final answer
    x = 14,567.82

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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.