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Finding the Fourth Proportional to 25,178.65, 34,746.77 and 13,693.67

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Solution

The fourth proportional to 25,178.65, 34,746.77 and 13,693.67 is: 18,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.65 : 34,746.77 = 13,693.67 : x
  2. Step 2: Convert to fraction form
    25,178.65/34,746.77 = 13,693.67/x
  3. Step 3: Cross multiply
    25,178.65x = 34,746.77 × 13,693.67
  4. Step 4: Simplify right side
    25,178.65x = 475,810,559.74
  5. Step 5: Solve for x
    x = 475,810,559.74/25,178.65
  6. Step 6: Final answer
    x = 18,897.38

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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.