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Finding the Fourth Proportional to 21,672.34, 32,509.73 and 6,088.75

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Solution

The fourth proportional to 21,672.34, 32,509.73 and 6,088.75 is: 9,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.34 : 32,509.73 = 6,088.75 : x
  2. Step 2: Convert to fraction form
    21,672.34/32,509.73 = 6,088.75/x
  3. Step 3: Cross multiply
    21,672.34x = 32,509.73 × 6,088.75
  4. Step 4: Simplify right side
    21,672.34x = 197,943,618.54
  5. Step 5: Solve for x
    x = 197,943,618.54/21,672.34
  6. Step 6: Final answer
    x = 9,133.47

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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.