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Finding the Fourth Proportional to 25,113.65, 34,657.07 and 14,503.05

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Solution

The fourth proportional to 25,113.65, 34,657.07 and 14,503.05 is: 20,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.65 : 34,657.07 = 14,503.05 : x
  2. Step 2: Convert to fraction form
    25,113.65/34,657.07 = 14,503.05/x
  3. Step 3: Cross multiply
    25,113.65x = 34,657.07 × 14,503.05
  4. Step 4: Simplify right side
    25,113.65x = 502,633,146.55
  5. Step 5: Solve for x
    x = 502,633,146.55/25,113.65
  6. Step 6: Final answer
    x = 20,014.34

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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.