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Finding the Fourth Proportional to 25,959.42, 35,826.50 and 16,527.38

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Solution

The fourth proportional to 25,959.42, 35,826.50 and 16,527.38 is: 22,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.42 : 35,826.50 = 16,527.38 : x
  2. Step 2: Convert to fraction form
    25,959.42/35,826.50 = 16,527.38/x
  3. Step 3: Cross multiply
    25,959.42x = 35,826.50 × 16,527.38
  4. Step 4: Simplify right side
    25,959.42x = 592,118,041.76
  5. Step 5: Solve for x
    x = 592,118,041.76/25,959.42
  6. Step 6: Final answer
    x = 22,809.37

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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.