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Finding the Fourth Proportional to 25,678.68, 35,437.26 and 14,500.68

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Solution

The fourth proportional to 25,678.68, 35,437.26 and 14,500.68 is: 20,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.68 : 35,437.26 = 14,500.68 : x
  2. Step 2: Convert to fraction form
    25,678.68/35,437.26 = 14,500.68/x
  3. Step 3: Cross multiply
    25,678.68x = 35,437.26 × 14,500.68
  4. Step 4: Simplify right side
    25,678.68x = 513,864,367.34
  5. Step 5: Solve for x
    x = 513,864,367.34/25,678.68
  6. Step 6: Final answer
    x = 20,011.32

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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.