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Finding the Fourth Proportional to 17,443.23, 24,071.54 and 9,485.46

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Solution

The fourth proportional to 17,443.23, 24,071.54 and 9,485.46 is: 13,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.23 : 24,071.54 = 9,485.46 : x
  2. Step 2: Convert to fraction form
    17,443.23/24,071.54 = 9,485.46/x
  3. Step 3: Cross multiply
    17,443.23x = 24,071.54 × 9,485.46
  4. Step 4: Simplify right side
    17,443.23x = 228,329,582.38
  5. Step 5: Solve for x
    x = 228,329,582.38/17,443.23
  6. Step 6: Final answer
    x = 13,089.87

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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.