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Finding the Fourth Proportional to 25,641, 35,384.63 and 14,463

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Solution

The fourth proportional to 25,641, 35,384.63 and 14,463 is: 19,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641 : 35,384.63 = 14,463 : x
  2. Step 2: Convert to fraction form
    25,641/35,384.63 = 14,463/x
  3. Step 3: Cross multiply
    25,641x = 35,384.63 × 14,463
  4. Step 4: Simplify right side
    25,641x = 511,767,831.38
  5. Step 5: Solve for x
    x = 511,767,831.38/25,641
  6. Step 6: Final answer
    x = 19,958.97

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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.