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Finding the Fourth Proportional to 20,938.19, 31,381.74 and 9,830.06

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Solution

The fourth proportional to 20,938.19, 31,381.74 and 9,830.06 is: 14,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.19 : 31,381.74 = 9,830.06 : x
  2. Step 2: Convert to fraction form
    20,938.19/31,381.74 = 9,830.06/x
  3. Step 3: Cross multiply
    20,938.19x = 31,381.74 × 9,830.06
  4. Step 4: Simplify right side
    20,938.19x = 308,484,230.20
  5. Step 5: Solve for x
    x = 308,484,230.20/20,938.19
  6. Step 6: Final answer
    x = 14,733.09

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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.