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Finding the Fourth Proportional to 14,461.50, 21,700.38 and 14,351.34

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Solution

The fourth proportional to 14,461.50, 21,700.38 and 14,351.34 is: 21,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.50 : 21,700.38 = 14,351.34 : x
  2. Step 2: Convert to fraction form
    14,461.50/21,700.38 = 14,351.34/x
  3. Step 3: Cross multiply
    14,461.50x = 21,700.38 × 14,351.34
  4. Step 4: Simplify right side
    14,461.50x = 311,429,531.51
  5. Step 5: Solve for x
    x = 311,429,531.51/14,461.50
  6. Step 6: Final answer
    x = 21,535.08

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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.