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Finding the Fourth Proportional to 22,928.30, 31,647.62 and 13,502.33

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Solution

The fourth proportional to 22,928.30, 31,647.62 and 13,502.33 is: 18,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928.30 : 31,647.62 = 13,502.33 : x
  2. Step 2: Convert to fraction form
    22,928.30/31,647.62 = 13,502.33/x
  3. Step 3: Cross multiply
    22,928.30x = 31,647.62 × 13,502.33
  4. Step 4: Simplify right side
    22,928.30x = 427,316,541.44
  5. Step 5: Solve for x
    x = 427,316,541.44/22,928.30
  6. Step 6: Final answer
    x = 18,637.08

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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.