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Finding the Fourth Proportional to 14,011.88, 21,030.94 and 7,091.24

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Solution

The fourth proportional to 14,011.88, 21,030.94 and 7,091.24 is: 10,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.88 : 21,030.94 = 7,091.24 : x
  2. Step 2: Convert to fraction form
    14,011.88/21,030.94 = 7,091.24/x
  3. Step 3: Cross multiply
    14,011.88x = 21,030.94 × 7,091.24
  4. Step 4: Simplify right side
    14,011.88x = 149,135,442.97
  5. Step 5: Solve for x
    x = 149,135,442.97/14,011.88
  6. Step 6: Final answer
    x = 10,643.50

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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.