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Finding the Fourth Proportional to 14,132.70, 21,223.35 and 13,695.30

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Solution

The fourth proportional to 14,132.70, 21,223.35 and 13,695.30 is: 20,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.70 : 21,223.35 = 13,695.30 : x
  2. Step 2: Convert to fraction form
    14,132.70/21,223.35 = 13,695.30/x
  3. Step 3: Cross multiply
    14,132.70x = 21,223.35 × 13,695.30
  4. Step 4: Simplify right side
    14,132.70x = 290,660,145.26
  5. Step 5: Solve for x
    x = 290,660,145.26/14,132.70
  6. Step 6: Final answer
    x = 20,566.50

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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.