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Finding the Fourth Proportional to 17,484.24, 24,128.08 and 9,526.44

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Solution

The fourth proportional to 17,484.24, 24,128.08 and 9,526.44 is: 13,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.24 : 24,128.08 = 9,526.44 : x
  2. Step 2: Convert to fraction form
    17,484.24/24,128.08 = 9,526.44/x
  3. Step 3: Cross multiply
    17,484.24x = 24,128.08 × 9,526.44
  4. Step 4: Simplify right side
    17,484.24x = 229,854,706.44
  5. Step 5: Solve for x
    x = 229,854,706.44/17,484.24
  6. Step 6: Final answer
    x = 13,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.