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Finding the Fourth Proportional to 16,402.96, 24,598.96 and 5,306.64

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Solution

The fourth proportional to 16,402.96, 24,598.96 and 5,306.64 is: 7,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.96 : 24,598.96 = 5,306.64 : x
  2. Step 2: Convert to fraction form
    16,402.96/24,598.96 = 5,306.64/x
  3. Step 3: Cross multiply
    16,402.96x = 24,598.96 × 5,306.64
  4. Step 4: Simplify right side
    16,402.96x = 130,537,825.09
  5. Step 5: Solve for x
    x = 130,537,825.09/16,402.96
  6. Step 6: Final answer
    x = 7,958.19

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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.