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Finding the Fourth Proportional to 22,376.32, 33,518.40 and 13,120

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Solution

The fourth proportional to 22,376.32, 33,518.40 and 13,120 is: 19,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.32 : 33,518.40 = 13,120 : x
  2. Step 2: Convert to fraction form
    22,376.32/33,518.40 = 13,120/x
  3. Step 3: Cross multiply
    22,376.32x = 33,518.40 × 13,120
  4. Step 4: Simplify right side
    22,376.32x = 439,761,408
  5. Step 5: Solve for x
    x = 439,761,408/22,376.32
  6. Step 6: Final answer
    x = 19,652.98

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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.