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Finding the Fourth Proportional to 19,457.84, 26,853.18 and 11,074.34

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Solution

The fourth proportional to 19,457.84, 26,853.18 and 11,074.34 is: 15,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457.84 : 26,853.18 = 11,074.34 : x
  2. Step 2: Convert to fraction form
    19,457.84/26,853.18 = 11,074.34/x
  3. Step 3: Cross multiply
    19,457.84x = 26,853.18 × 11,074.34
  4. Step 4: Simplify right side
    19,457.84x = 297,381,245.40
  5. Step 5: Solve for x
    x = 297,381,245.40/19,457.84
  6. Step 6: Final answer
    x = 15,283.36

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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.