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Finding the Fourth Proportional to 25,651, 35,400 and 14,473

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Solution

The fourth proportional to 25,651, 35,400 and 14,473 is: 19,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651 : 35,400 = 14,473 : x
  2. Step 2: Convert to fraction form
    25,651/35,400 = 14,473/x
  3. Step 3: Cross multiply
    25,651x = 35,400 × 14,473
  4. Step 4: Simplify right side
    25,651x = 512,344,200
  5. Step 5: Solve for x
    x = 512,344,200/25,651
  6. Step 6: Final answer
    x = 19,973.65

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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.