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Finding the Fourth Proportional to 28,431.46, 42,652.05 and 9,710.47

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Solution

The fourth proportional to 28,431.46, 42,652.05 and 9,710.47 is: 14,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.46 : 42,652.05 = 9,710.47 : x
  2. Step 2: Convert to fraction form
    28,431.46/42,652.05 = 9,710.47/x
  3. Step 3: Cross multiply
    28,431.46x = 42,652.05 × 9,710.47
  4. Step 4: Simplify right side
    28,431.46x = 414,171,451.96
  5. Step 5: Solve for x
    x = 414,171,451.96/28,431.46
  6. Step 6: Final answer
    x = 14,567.36

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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.