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Finding the Fourth Proportional to 21,575.97, 32,356.13 and 7,532.06

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Solution

The fourth proportional to 21,575.97, 32,356.13 and 7,532.06 is: 11,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.97 : 32,356.13 = 7,532.06 : x
  2. Step 2: Convert to fraction form
    21,575.97/32,356.13 = 7,532.06/x
  3. Step 3: Cross multiply
    21,575.97x = 32,356.13 × 7,532.06
  4. Step 4: Simplify right side
    21,575.97x = 243,708,113.09
  5. Step 5: Solve for x
    x = 243,708,113.09/21,575.97
  6. Step 6: Final answer
    x = 11,295.35

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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.