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Finding the Fourth Proportional to 21,509.64, 32,266.89 and 6,718.23

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Solution

The fourth proportional to 21,509.64, 32,266.89 and 6,718.23 is: 10,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.64 : 32,266.89 = 6,718.23 : x
  2. Step 2: Convert to fraction form
    21,509.64/32,266.89 = 6,718.23/x
  3. Step 3: Cross multiply
    21,509.64x = 32,266.89 × 6,718.23
  4. Step 4: Simplify right side
    21,509.64x = 216,776,388.40
  5. Step 5: Solve for x
    x = 216,776,388.40/21,509.64
  6. Step 6: Final answer
    x = 10,078.10

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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.