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Finding the Fourth Proportional to 15,450.66, 21,314.06 and 9,775.84

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Solution

The fourth proportional to 15,450.66, 21,314.06 and 9,775.84 is: 13,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,450.66 : 21,314.06 = 9,775.84 : x
  2. Step 2: Convert to fraction form
    15,450.66/21,314.06 = 9,775.84/x
  3. Step 3: Cross multiply
    15,450.66x = 21,314.06 × 9,775.84
  4. Step 4: Simplify right side
    15,450.66x = 208,362,840.31
  5. Step 5: Solve for x
    x = 208,362,840.31/15,450.66
  6. Step 6: Final answer
    x = 13,485.69

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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.