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Finding the Fourth Proportional to 16,978.38, 23,430.34 and 9,526.38

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Solution

The fourth proportional to 16,978.38, 23,430.34 and 9,526.38 is: 13,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.38 : 23,430.34 = 9,526.38 : x
  2. Step 2: Convert to fraction form
    16,978.38/23,430.34 = 9,526.38/x
  3. Step 3: Cross multiply
    16,978.38x = 23,430.34 × 9,526.38
  4. Step 4: Simplify right side
    16,978.38x = 223,206,322.37
  5. Step 5: Solve for x
    x = 223,206,322.37/16,978.38
  6. Step 6: Final answer
    x = 13,146.50

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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.