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Finding the Fourth Proportional to 14,140.88, 21,069.22 and 13,346

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Solution

The fourth proportional to 14,140.88, 21,069.22 and 13,346 is: 19,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.88 : 21,069.22 = 13,346 : x
  2. Step 2: Convert to fraction form
    14,140.88/21,069.22 = 13,346/x
  3. Step 3: Cross multiply
    14,140.88x = 21,069.22 × 13,346
  4. Step 4: Simplify right side
    14,140.88x = 281,189,810.12
  5. Step 5: Solve for x
    x = 281,189,810.12/14,140.88
  6. Step 6: Final answer
    x = 19,884.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.