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Finding the Fourth Proportional to 25,706, 35,474.28 and 14,528

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Solution

The fourth proportional to 25,706, 35,474.28 and 14,528 is: 20,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706 : 35,474.28 = 14,528 : x
  2. Step 2: Convert to fraction form
    25,706/35,474.28 = 14,528/x
  3. Step 3: Cross multiply
    25,706x = 35,474.28 × 14,528
  4. Step 4: Simplify right side
    25,706x = 515,370,339.84
  5. Step 5: Solve for x
    x = 515,370,339.84/25,706
  6. Step 6: Final answer
    x = 20,048.64

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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.