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Finding the Fourth Proportional to 13,710.56, 20,560.88 and 4,943.12

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Solution

The fourth proportional to 13,710.56, 20,560.88 and 4,943.12 is: 7,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.56 : 20,560.88 = 4,943.12 : x
  2. Step 2: Convert to fraction form
    13,710.56/20,560.88 = 4,943.12/x
  3. Step 3: Cross multiply
    13,710.56x = 20,560.88 × 4,943.12
  4. Step 4: Simplify right side
    13,710.56x = 101,634,897.15
  5. Step 5: Solve for x
    x = 101,634,897.15/13,710.56
  6. Step 6: Final answer
    x = 7,412.89

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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.