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Finding the Fourth Proportional to 25,939, 35,802.30 and 14,767.48

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Solution

The fourth proportional to 25,939, 35,802.30 and 14,767.48 is: 20,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,939 : 35,802.30 = 14,767.48 : x
  2. Step 2: Convert to fraction form
    25,939/35,802.30 = 14,767.48/x
  3. Step 3: Cross multiply
    25,939x = 35,802.30 × 14,767.48
  4. Step 4: Simplify right side
    25,939x = 528,709,749.20
  5. Step 5: Solve for x
    x = 528,709,749.20/25,939
  6. Step 6: Final answer
    x = 20,382.81

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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.