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Finding the Fourth Proportional to 25,956.65, 35,820.16 and 14,020

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Solution

The fourth proportional to 25,956.65, 35,820.16 and 14,020 is: 19,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,956.65 : 35,820.16 = 14,020 : x
  2. Step 2: Convert to fraction form
    25,956.65/35,820.16 = 14,020/x
  3. Step 3: Cross multiply
    25,956.65x = 35,820.16 × 14,020
  4. Step 4: Simplify right side
    25,956.65x = 502,198,643.20
  5. Step 5: Solve for x
    x = 502,198,643.20/25,956.65
  6. Step 6: Final answer
    x = 19,347.59

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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.