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Finding the Fourth Proportional to 38,013.12, 57,022 and 14,639.58

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Solution

The fourth proportional to 38,013.12, 57,022 and 14,639.58 is: 21,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.12 : 57,022 = 14,639.58 : x
  2. Step 2: Convert to fraction form
    38,013.12/57,022 = 14,639.58/x
  3. Step 3: Cross multiply
    38,013.12x = 57,022 × 14,639.58
  4. Step 4: Simplify right side
    38,013.12x = 834,778,130.76
  5. Step 5: Solve for x
    x = 834,778,130.76/38,013.12
  6. Step 6: Final answer
    x = 21,960.26

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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.