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Finding the Fourth Proportional to 19,068, 26,313.84 and 11,616

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Solution

The fourth proportional to 19,068, 26,313.84 and 11,616 is: 16,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,068 : 26,313.84 = 11,616 : x
  2. Step 2: Convert to fraction form
    19,068/26,313.84 = 11,616/x
  3. Step 3: Cross multiply
    19,068x = 26,313.84 × 11,616
  4. Step 4: Simplify right side
    19,068x = 305,661,565.44
  5. Step 5: Solve for x
    x = 305,661,565.44/19,068
  6. Step 6: Final answer
    x = 16,030.08

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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.