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Finding the Fourth Proportional to 21,430.81, 32,146.21 and 9,747.37

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Solution

The fourth proportional to 21,430.81, 32,146.21 and 9,747.37 is: 14,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.81 : 32,146.21 = 9,747.37 : x
  2. Step 2: Convert to fraction form
    21,430.81/32,146.21 = 9,747.37/x
  3. Step 3: Cross multiply
    21,430.81x = 32,146.21 × 9,747.37
  4. Step 4: Simplify right side
    21,430.81x = 313,341,002.97
  5. Step 5: Solve for x
    x = 313,341,002.97/21,430.81
  6. Step 6: Final answer
    x = 14,621.05

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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.