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Finding the Fourth Proportional to 13,695.88, 20,531.04 and 7,446.64

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Solution

The fourth proportional to 13,695.88, 20,531.04 and 7,446.64 is: 11,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.88 : 20,531.04 = 7,446.64 : x
  2. Step 2: Convert to fraction form
    13,695.88/20,531.04 = 7,446.64/x
  3. Step 3: Cross multiply
    13,695.88x = 20,531.04 × 7,446.64
  4. Step 4: Simplify right side
    13,695.88x = 152,887,263.71
  5. Step 5: Solve for x
    x = 152,887,263.71/13,695.88
  6. Step 6: Final answer
    x = 11,163.01

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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.