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Finding the Fourth Proportional to 14,041, 21,031.53 and 9,095.95

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Solution

The fourth proportional to 14,041, 21,031.53 and 9,095.95 is: 13,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041 : 21,031.53 = 9,095.95 : x
  2. Step 2: Convert to fraction form
    14,041/21,031.53 = 9,095.95/x
  3. Step 3: Cross multiply
    14,041x = 21,031.53 × 9,095.95
  4. Step 4: Simplify right side
    14,041x = 191,301,745.30
  5. Step 5: Solve for x
    x = 191,301,745.30/14,041
  6. Step 6: Final answer
    x = 13,624.51

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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.