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Finding the Fourth Proportional to 25,948, 38,820.81 and 19,726

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Solution

The fourth proportional to 25,948, 38,820.81 and 19,726 is: 29,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,948 : 38,820.81 = 19,726 : x
  2. Step 2: Convert to fraction form
    25,948/38,820.81 = 19,726/x
  3. Step 3: Cross multiply
    25,948x = 38,820.81 × 19,726
  4. Step 4: Simplify right side
    25,948x = 765,779,298.06
  5. Step 5: Solve for x
    x = 765,779,298.06/25,948
  6. Step 6: Final answer
    x = 29,512.07

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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.