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Finding the Fourth Proportional to 25,421.07, 35,080.98 and 14,243.07

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Solution

The fourth proportional to 25,421.07, 35,080.98 and 14,243.07 is: 19,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,421.07 : 35,080.98 = 14,243.07 : x
  2. Step 2: Convert to fraction form
    25,421.07/35,080.98 = 14,243.07/x
  3. Step 3: Cross multiply
    25,421.07x = 35,080.98 × 14,243.07
  4. Step 4: Simplify right side
    25,421.07x = 499,660,853.81
  5. Step 5: Solve for x
    x = 499,660,853.81/25,421.07
  6. Step 6: Final answer
    x = 19,655.38

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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.