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Finding the Fourth Proportional to 13,875.74, 20,792.98 and 8,322.58

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Solution

The fourth proportional to 13,875.74, 20,792.98 and 8,322.58 is: 12,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.74 : 20,792.98 = 8,322.58 : x
  2. Step 2: Convert to fraction form
    13,875.74/20,792.98 = 8,322.58/x
  3. Step 3: Cross multiply
    13,875.74x = 20,792.98 × 8,322.58
  4. Step 4: Simplify right side
    13,875.74x = 173,051,239.49
  5. Step 5: Solve for x
    x = 173,051,239.49/13,875.74
  6. Step 6: Final answer
    x = 12,471.50

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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.