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Finding the Fourth Proportional to 14,925.40, 20,596.74 and 8,119.24

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Solution

The fourth proportional to 14,925.40, 20,596.74 and 8,119.24 is: 11,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925.40 : 20,596.74 = 8,119.24 : x
  2. Step 2: Convert to fraction form
    14,925.40/20,596.74 = 8,119.24/x
  3. Step 3: Cross multiply
    14,925.40x = 20,596.74 × 8,119.24
  4. Step 4: Simplify right side
    14,925.40x = 167,229,875.28
  5. Step 5: Solve for x
    x = 167,229,875.28/14,925.40
  6. Step 6: Final answer
    x = 11,204.38

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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.