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Finding the Fourth Proportional to 28,496.40, 42,740.55 and 9,777.30

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Solution

The fourth proportional to 28,496.40, 42,740.55 and 9,777.30 is: 14,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496.40 : 42,740.55 = 9,777.30 : x
  2. Step 2: Convert to fraction form
    28,496.40/42,740.55 = 9,777.30/x
  3. Step 3: Cross multiply
    28,496.40x = 42,740.55 × 9,777.30
  4. Step 4: Simplify right side
    28,496.40x = 417,887,179.52
  5. Step 5: Solve for x
    x = 417,887,179.52/28,496.40
  6. Step 6: Final answer
    x = 14,664.56

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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.