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Finding the Fourth Proportional to 22,683.34, 31,294.72 and 13,727.58

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Solution

The fourth proportional to 22,683.34, 31,294.72 and 13,727.58 is: 18,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.34 : 31,294.72 = 13,727.58 : x
  2. Step 2: Convert to fraction form
    22,683.34/31,294.72 = 13,727.58/x
  3. Step 3: Cross multiply
    22,683.34x = 31,294.72 × 13,727.58
  4. Step 4: Simplify right side
    22,683.34x = 429,600,547.27
  5. Step 5: Solve for x
    x = 429,600,547.27/22,683.34
  6. Step 6: Final answer
    x = 18,939.03

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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.