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Finding the Fourth Proportional to 21,563.74, 32,345.60 and 9,842.14

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Solution

The fourth proportional to 21,563.74, 32,345.60 and 9,842.14 is: 14,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.74 : 32,345.60 = 9,842.14 : x
  2. Step 2: Convert to fraction form
    21,563.74/32,345.60 = 9,842.14/x
  3. Step 3: Cross multiply
    21,563.74x = 32,345.60 × 9,842.14
  4. Step 4: Simplify right side
    21,563.74x = 318,349,923.58
  5. Step 5: Solve for x
    x = 318,349,923.58/21,563.74
  6. Step 6: Final answer
    x = 14,763.21

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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.