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Finding the Fourth Proportional to 25,634.82, 35,376 and 14,303.63

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Solution

The fourth proportional to 25,634.82, 35,376 and 14,303.63 is: 19,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.82 : 35,376 = 14,303.63 : x
  2. Step 2: Convert to fraction form
    25,634.82/35,376 = 14,303.63/x
  3. Step 3: Cross multiply
    25,634.82x = 35,376 × 14,303.63
  4. Step 4: Simplify right side
    25,634.82x = 506,005,038
  5. Step 5: Solve for x
    x = 506,005,038/25,634.82
  6. Step 6: Final answer
    x = 19,738.97

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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.