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Finding the Fourth Proportional to 21,575.09, 32,356.22 and 9,722.03

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Solution

The fourth proportional to 21,575.09, 32,356.22 and 9,722.03 is: 14,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.09 : 32,356.22 = 9,722.03 : x
  2. Step 2: Convert to fraction form
    21,575.09/32,356.22 = 9,722.03/x
  3. Step 3: Cross multiply
    21,575.09x = 32,356.22 × 9,722.03
  4. Step 4: Simplify right side
    21,575.09x = 314,567,931.14
  5. Step 5: Solve for x
    x = 314,567,931.14/21,575.09
  6. Step 6: Final answer
    x = 14,580.14

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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.