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Finding the Fourth Proportional to 12,141.16, 16,739.94 and 9,618.28

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Solution

The fourth proportional to 12,141.16, 16,739.94 and 9,618.28 is: 13,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.16 : 16,739.94 = 9,618.28 : x
  2. Step 2: Convert to fraction form
    12,141.16/16,739.94 = 9,618.28/x
  3. Step 3: Cross multiply
    12,141.16x = 16,739.94 × 9,618.28
  4. Step 4: Simplify right side
    12,141.16x = 161,009,430.10
  5. Step 5: Solve for x
    x = 161,009,430.10/12,141.16
  6. Step 6: Final answer
    x = 13,261.45

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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.