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Finding the Fourth Proportional to 19,031.10, 26,288.02 and 14,609.50

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Solution

The fourth proportional to 19,031.10, 26,288.02 and 14,609.50 is: 20,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031.10 : 26,288.02 = 14,609.50 : x
  2. Step 2: Convert to fraction form
    19,031.10/26,288.02 = 14,609.50/x
  3. Step 3: Cross multiply
    19,031.10x = 26,288.02 × 14,609.50
  4. Step 4: Simplify right side
    19,031.10x = 384,054,828.19
  5. Step 5: Solve for x
    x = 384,054,828.19/19,031.10
  6. Step 6: Final answer
    x = 20,180.38

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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.