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Finding the Fourth Proportional to 21,509.69, 32,268.58 and 6,715.04

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Solution

The fourth proportional to 21,509.69, 32,268.58 and 6,715.04 is: 10,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.69 : 32,268.58 = 6,715.04 : x
  2. Step 2: Convert to fraction form
    21,509.69/32,268.58 = 6,715.04/x
  3. Step 3: Cross multiply
    21,509.69x = 32,268.58 × 6,715.04
  4. Step 4: Simplify right side
    21,509.69x = 216,684,627.31
  5. Step 5: Solve for x
    x = 216,684,627.31/21,509.69
  6. Step 6: Final answer
    x = 10,073.82

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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.