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Finding the Fourth Proportional to 18,496.48, 25,508.64 and 14,464

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Solution

The fourth proportional to 18,496.48, 25,508.64 and 14,464 is: 19,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.48 : 25,508.64 = 14,464 : x
  2. Step 2: Convert to fraction form
    18,496.48/25,508.64 = 14,464/x
  3. Step 3: Cross multiply
    18,496.48x = 25,508.64 × 14,464
  4. Step 4: Simplify right side
    18,496.48x = 368,956,968.96
  5. Step 5: Solve for x
    x = 368,956,968.96/18,496.48
  6. Step 6: Final answer
    x = 19,947.42

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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.