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Finding the Fourth Proportional to 14,306.70, 21,445 and 7,731.12

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Solution

The fourth proportional to 14,306.70, 21,445 and 7,731.12 is: 11,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.70 : 21,445 = 7,731.12 : x
  2. Step 2: Convert to fraction form
    14,306.70/21,445 = 7,731.12/x
  3. Step 3: Cross multiply
    14,306.70x = 21,445 × 7,731.12
  4. Step 4: Simplify right side
    14,306.70x = 165,793,868.40
  5. Step 5: Solve for x
    x = 165,793,868.40/14,306.70
  6. Step 6: Final answer
    x = 11,588.55

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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.