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Finding the Fourth Proportional to 21,585.80, 32,347.21 and 9,563.45

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Solution

The fourth proportional to 21,585.80, 32,347.21 and 9,563.45 is: 14,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.80 : 32,347.21 = 9,563.45 : x
  2. Step 2: Convert to fraction form
    21,585.80/32,347.21 = 9,563.45/x
  3. Step 3: Cross multiply
    21,585.80x = 32,347.21 × 9,563.45
  4. Step 4: Simplify right side
    21,585.80x = 309,351,089.63
  5. Step 5: Solve for x
    x = 309,351,089.63/21,585.80
  6. Step 6: Final answer
    x = 14,331.23

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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.