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Finding the Fourth Proportional to 21,694.81, 32,547 and 9,225.52

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Solution

The fourth proportional to 21,694.81, 32,547 and 9,225.52 is: 13,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.81 : 32,547 = 9,225.52 : x
  2. Step 2: Convert to fraction form
    21,694.81/32,547 = 9,225.52/x
  3. Step 3: Cross multiply
    21,694.81x = 32,547 × 9,225.52
  4. Step 4: Simplify right side
    21,694.81x = 300,262,999.44
  5. Step 5: Solve for x
    x = 300,262,999.44/21,694.81
  6. Step 6: Final answer
    x = 13,840.31

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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.