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Finding the Fourth Proportional to 21,130.38, 31,683.71 and 14,474.39

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Solution

The fourth proportional to 21,130.38, 31,683.71 and 14,474.39 is: 21,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.38 : 31,683.71 = 14,474.39 : x
  2. Step 2: Convert to fraction form
    21,130.38/31,683.71 = 14,474.39/x
  3. Step 3: Cross multiply
    21,130.38x = 31,683.71 × 14,474.39
  4. Step 4: Simplify right side
    21,130.38x = 458,602,375.19
  5. Step 5: Solve for x
    x = 458,602,375.19/21,130.38
  6. Step 6: Final answer
    x = 21,703.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.