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Finding the Fourth Proportional to 11,970.18, 17,928.54 and 9,176.29

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Solution

The fourth proportional to 11,970.18, 17,928.54 and 9,176.29 is: 13,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.18 : 17,928.54 = 9,176.29 : x
  2. Step 2: Convert to fraction form
    11,970.18/17,928.54 = 9,176.29/x
  3. Step 3: Cross multiply
    11,970.18x = 17,928.54 × 9,176.29
  4. Step 4: Simplify right side
    11,970.18x = 164,517,437.50
  5. Step 5: Solve for x
    x = 164,517,437.50/11,970.18
  6. Step 6: Final answer
    x = 13,743.94

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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.