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Finding the Fourth Proportional to 15,442.56, 21,313.02 and 9,777.84

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Solution

The fourth proportional to 15,442.56, 21,313.02 and 9,777.84 is: 13,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.56 : 21,313.02 = 9,777.84 : x
  2. Step 2: Convert to fraction form
    15,442.56/21,313.02 = 9,777.84/x
  3. Step 3: Cross multiply
    15,442.56x = 21,313.02 × 9,777.84
  4. Step 4: Simplify right side
    15,442.56x = 208,395,217.36
  5. Step 5: Solve for x
    x = 208,395,217.36/15,442.56
  6. Step 6: Final answer
    x = 13,494.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.