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Finding the Fourth Proportional to 14,777.90, 20,389.06 and 9,740.31

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Solution

The fourth proportional to 14,777.90, 20,389.06 and 9,740.31 is: 13,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.90 : 20,389.06 = 9,740.31 : x
  2. Step 2: Convert to fraction form
    14,777.90/20,389.06 = 9,740.31/x
  3. Step 3: Cross multiply
    14,777.90x = 20,389.06 × 9,740.31
  4. Step 4: Simplify right side
    14,777.90x = 198,595,765.01
  5. Step 5: Solve for x
    x = 198,595,765.01/14,777.90
  6. Step 6: Final answer
    x = 13,438.70

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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.