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Finding the Fourth Proportional to 25,713, 35,490.48 and 14,541.48

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Solution

The fourth proportional to 25,713, 35,490.48 and 14,541.48 is: 20,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713 : 35,490.48 = 14,541.48 : x
  2. Step 2: Convert to fraction form
    25,713/35,490.48 = 14,541.48/x
  3. Step 3: Cross multiply
    25,713x = 35,490.48 × 14,541.48
  4. Step 4: Simplify right side
    25,713x = 516,084,105.11
  5. Step 5: Solve for x
    x = 516,084,105.11/25,713
  6. Step 6: Final answer
    x = 20,070.94

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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.