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Finding the Fourth Proportional to 25,666.72, 35,419.71 and 14,336.38

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Solution

The fourth proportional to 25,666.72, 35,419.71 and 14,336.38 is: 19,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.72 : 35,419.71 = 14,336.38 : x
  2. Step 2: Convert to fraction form
    25,666.72/35,419.71 = 14,336.38/x
  3. Step 3: Cross multiply
    25,666.72x = 35,419.71 × 14,336.38
  4. Step 4: Simplify right side
    25,666.72x = 507,790,350.37
  5. Step 5: Solve for x
    x = 507,790,350.37/25,666.72
  6. Step 6: Final answer
    x = 19,784.00

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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.