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Finding the Fourth Proportional to 25,703.69, 38,547.27 and 8,169.41

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Solution

The fourth proportional to 25,703.69, 38,547.27 and 8,169.41 is: 12,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703.69 : 38,547.27 = 8,169.41 : x
  2. Step 2: Convert to fraction form
    25,703.69/38,547.27 = 8,169.41/x
  3. Step 3: Cross multiply
    25,703.69x = 38,547.27 × 8,169.41
  4. Step 4: Simplify right side
    25,703.69x = 314,908,549.38
  5. Step 5: Solve for x
    x = 314,908,549.38/25,703.69
  6. Step 6: Final answer
    x = 12,251.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.