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Finding the Fourth Proportional to 25,948, 35,808.28 and 14,770

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Solution

The fourth proportional to 25,948, 35,808.28 and 14,770 is: 20,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,948 : 35,808.28 = 14,770 : x
  2. Step 2: Convert to fraction form
    25,948/35,808.28 = 14,770/x
  3. Step 3: Cross multiply
    25,948x = 35,808.28 × 14,770
  4. Step 4: Simplify right side
    25,948x = 528,888,295.60
  5. Step 5: Solve for x
    x = 528,888,295.60/25,948
  6. Step 6: Final answer
    x = 20,382.62

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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.