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Finding the Fourth Proportional to 22,489.61, 31,038.38 and 13,058.16

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Solution

The fourth proportional to 22,489.61, 31,038.38 and 13,058.16 is: 18,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.61 : 31,038.38 = 13,058.16 : x
  2. Step 2: Convert to fraction form
    22,489.61/31,038.38 = 13,058.16/x
  3. Step 3: Cross multiply
    22,489.61x = 31,038.38 × 13,058.16
  4. Step 4: Simplify right side
    22,489.61x = 405,304,066.89
  5. Step 5: Solve for x
    x = 405,304,066.89/22,489.61
  6. Step 6: Final answer
    x = 18,021.84

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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.