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Finding the Fourth Proportional to 25,668.35, 35,421.94 and 14,338.01

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Solution

The fourth proportional to 25,668.35, 35,421.94 and 14,338.01 is: 19,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.35 : 35,421.94 = 14,338.01 : x
  2. Step 2: Convert to fraction form
    25,668.35/35,421.94 = 14,338.01/x
  3. Step 3: Cross multiply
    25,668.35x = 35,421.94 × 14,338.01
  4. Step 4: Simplify right side
    25,668.35x = 507,880,182.65
  5. Step 5: Solve for x
    x = 507,880,182.65/25,668.35
  6. Step 6: Final answer
    x = 19,786.25

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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.