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Finding the Fourth Proportional to 14,473.59, 21,672.36 and 11,647.40

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Solution

The fourth proportional to 14,473.59, 21,672.36 and 11,647.40 is: 17,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.59 : 21,672.36 = 11,647.40 : x
  2. Step 2: Convert to fraction form
    14,473.59/21,672.36 = 11,647.40/x
  3. Step 3: Cross multiply
    14,473.59x = 21,672.36 × 11,647.40
  4. Step 4: Simplify right side
    14,473.59x = 252,426,537.50
  5. Step 5: Solve for x
    x = 252,426,537.50/14,473.59
  6. Step 6: Final answer
    x = 17,440.50

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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.