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Finding the Fourth Proportional to 25,666.97, 35,420.04 and 14,336.67

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Solution

The fourth proportional to 25,666.97, 35,420.04 and 14,336.67 is: 19,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.97 : 35,420.04 = 14,336.67 : x
  2. Step 2: Convert to fraction form
    25,666.97/35,420.04 = 14,336.67/x
  3. Step 3: Cross multiply
    25,666.97x = 35,420.04 × 14,336.67
  4. Step 4: Simplify right side
    25,666.97x = 507,805,424.87
  5. Step 5: Solve for x
    x = 507,805,424.87/25,666.97
  6. Step 6: Final answer
    x = 19,784.39

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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.