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Finding the Fourth Proportional to 21,004.79, 31,509 and 7,681.44

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Solution

The fourth proportional to 21,004.79, 31,509 and 7,681.44 is: 11,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.79 : 31,509 = 7,681.44 : x
  2. Step 2: Convert to fraction form
    21,004.79/31,509 = 7,681.44/x
  3. Step 3: Cross multiply
    21,004.79x = 31,509 × 7,681.44
  4. Step 4: Simplify right side
    21,004.79x = 242,034,492.96
  5. Step 5: Solve for x
    x = 242,034,492.96/21,004.79
  6. Step 6: Final answer
    x = 11,522.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.