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Finding the Fourth Proportional to 14,192.57, 21,256.03 and 13,700.50

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Solution

The fourth proportional to 14,192.57, 21,256.03 and 13,700.50 is: 20,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.57 : 21,256.03 = 13,700.50 : x
  2. Step 2: Convert to fraction form
    14,192.57/21,256.03 = 13,700.50/x
  3. Step 3: Cross multiply
    14,192.57x = 21,256.03 × 13,700.50
  4. Step 4: Simplify right side
    14,192.57x = 291,218,239.02
  5. Step 5: Solve for x
    x = 291,218,239.02/14,192.57
  6. Step 6: Final answer
    x = 20,519.06

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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.