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Finding the Fourth Proportional to 22,496.58, 31,038.93 and 13,541.22

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Solution

The fourth proportional to 22,496.58, 31,038.93 and 13,541.22 is: 18,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.58 : 31,038.93 = 13,541.22 : x
  2. Step 2: Convert to fraction form
    22,496.58/31,038.93 = 13,541.22/x
  3. Step 3: Cross multiply
    22,496.58x = 31,038.93 × 13,541.22
  4. Step 4: Simplify right side
    22,496.58x = 420,304,979.69
  5. Step 5: Solve for x
    x = 420,304,979.69/22,496.58
  6. Step 6: Final answer
    x = 18,683.06

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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.