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Finding the Fourth Proportional to 18,948.25, 26,148.59 and 10,564.75

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Solution

The fourth proportional to 18,948.25, 26,148.59 and 10,564.75 is: 14,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,948.25 : 26,148.59 = 10,564.75 : x
  2. Step 2: Convert to fraction form
    18,948.25/26,148.59 = 10,564.75/x
  3. Step 3: Cross multiply
    18,948.25x = 26,148.59 × 10,564.75
  4. Step 4: Simplify right side
    18,948.25x = 276,253,263.38
  5. Step 5: Solve for x
    x = 276,253,263.38/18,948.25
  6. Step 6: Final answer
    x = 14,579.36

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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.