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Finding the Fourth Proportional to 25,384.38, 35,030.44 and 14,206.38

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Solution

The fourth proportional to 25,384.38, 35,030.44 and 14,206.38 is: 19,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.38 : 35,030.44 = 14,206.38 : x
  2. Step 2: Convert to fraction form
    25,384.38/35,030.44 = 14,206.38/x
  3. Step 3: Cross multiply
    25,384.38x = 35,030.44 × 14,206.38
  4. Step 4: Simplify right side
    25,384.38x = 497,655,742.21
  5. Step 5: Solve for x
    x = 497,655,742.21/25,384.38
  6. Step 6: Final answer
    x = 19,604.80

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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.