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Finding the Fourth Proportional to 17,376.84, 23,980.08 and 9,419.07

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Solution

The fourth proportional to 17,376.84, 23,980.08 and 9,419.07 is: 12,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376.84 : 23,980.08 = 9,419.07 : x
  2. Step 2: Convert to fraction form
    17,376.84/23,980.08 = 9,419.07/x
  3. Step 3: Cross multiply
    17,376.84x = 23,980.08 × 9,419.07
  4. Step 4: Simplify right side
    17,376.84x = 225,870,052.13
  5. Step 5: Solve for x
    x = 225,870,052.13/17,376.84
  6. Step 6: Final answer
    x = 12,998.34

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1.5x scale

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.