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Finding the Fourth Proportional to 22,856.56, 34,253.70 and 13,975

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Solution

The fourth proportional to 22,856.56, 34,253.70 and 13,975 is: 20,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.56 : 34,253.70 = 13,975 : x
  2. Step 2: Convert to fraction form
    22,856.56/34,253.70 = 13,975/x
  3. Step 3: Cross multiply
    22,856.56x = 34,253.70 × 13,975
  4. Step 4: Simplify right side
    22,856.56x = 478,695,457.50
  5. Step 5: Solve for x
    x = 478,695,457.50/22,856.56
  6. Step 6: Final answer
    x = 20,943.46

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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.