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Finding the Fourth Proportional to 14,646.48, 21,959.28 and 6,851.04

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Solution

The fourth proportional to 14,646.48, 21,959.28 and 6,851.04 is: 10,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.48 : 21,959.28 = 6,851.04 : x
  2. Step 2: Convert to fraction form
    14,646.48/21,959.28 = 6,851.04/x
  3. Step 3: Cross multiply
    14,646.48x = 21,959.28 × 6,851.04
  4. Step 4: Simplify right side
    14,646.48x = 150,443,905.65
  5. Step 5: Solve for x
    x = 150,443,905.65/14,646.48
  6. Step 6: Final answer
    x = 10,271.68

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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.