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Finding the Fourth Proportional to 25,713, 35,485.38 and 14,535.72

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Solution

The fourth proportional to 25,713, 35,485.38 and 14,535.72 is: 20,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713 : 35,485.38 = 14,535.72 : x
  2. Step 2: Convert to fraction form
    25,713/35,485.38 = 14,535.72/x
  3. Step 3: Cross multiply
    25,713x = 35,485.38 × 14,535.72
  4. Step 4: Simplify right side
    25,713x = 515,805,547.77
  5. Step 5: Solve for x
    x = 515,805,547.77/25,713
  6. Step 6: Final answer
    x = 20,060.11

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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.