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Finding the Fourth Proportional to 17,615.72, 26,424.04 and 6,941.64

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Solution

The fourth proportional to 17,615.72, 26,424.04 and 6,941.64 is: 10,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.72 : 26,424.04 = 6,941.64 : x
  2. Step 2: Convert to fraction form
    17,615.72/26,424.04 = 6,941.64/x
  3. Step 3: Cross multiply
    17,615.72x = 26,424.04 × 6,941.64
  4. Step 4: Simplify right side
    17,615.72x = 183,426,155.67
  5. Step 5: Solve for x
    x = 183,426,155.67/17,615.72
  6. Step 6: Final answer
    x = 10,412.64

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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.