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Finding the Fourth Proportional to 15,596.96, 23,369.04 and 9,428

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Solution

The fourth proportional to 15,596.96, 23,369.04 and 9,428 is: 14,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.96 : 23,369.04 = 9,428 : x
  2. Step 2: Convert to fraction form
    15,596.96/23,369.04 = 9,428/x
  3. Step 3: Cross multiply
    15,596.96x = 23,369.04 × 9,428
  4. Step 4: Simplify right side
    15,596.96x = 220,323,309.12
  5. Step 5: Solve for x
    x = 220,323,309.12/15,596.96
  6. Step 6: Final answer
    x = 14,126.04

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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.