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Finding the Fourth Proportional to 25,595.74, 35,322.87 and 14,984.38

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Solution

The fourth proportional to 25,595.74, 35,322.87 and 14,984.38 is: 20,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,595.74 : 35,322.87 = 14,984.38 : x
  2. Step 2: Convert to fraction form
    25,595.74/35,322.87 = 14,984.38/x
  3. Step 3: Cross multiply
    25,595.74x = 35,322.87 × 14,984.38
  4. Step 4: Simplify right side
    25,595.74x = 529,291,306.77
  5. Step 5: Solve for x
    x = 529,291,306.77/25,595.74
  6. Step 6: Final answer
    x = 20,678.88

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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.