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Finding the Fourth Proportional to 24,970.50, 34,459.56 and 13,792.50

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Solution

The fourth proportional to 24,970.50, 34,459.56 and 13,792.50 is: 19,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970.50 : 34,459.56 = 13,792.50 : x
  2. Step 2: Convert to fraction form
    24,970.50/34,459.56 = 13,792.50/x
  3. Step 3: Cross multiply
    24,970.50x = 34,459.56 × 13,792.50
  4. Step 4: Simplify right side
    24,970.50x = 475,283,481.30
  5. Step 5: Solve for x
    x = 475,283,481.30/24,970.50
  6. Step 6: Final answer
    x = 19,033.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.