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Finding the Fourth Proportional to 24,955.20, 34,444.80 and 14,346

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Solution

The fourth proportional to 24,955.20, 34,444.80 and 14,346 is: 19,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.20 : 34,444.80 = 14,346 : x
  2. Step 2: Convert to fraction form
    24,955.20/34,444.80 = 14,346/x
  3. Step 3: Cross multiply
    24,955.20x = 34,444.80 × 14,346
  4. Step 4: Simplify right side
    24,955.20x = 494,145,100.80
  5. Step 5: Solve for x
    x = 494,145,100.80/24,955.20
  6. Step 6: Final answer
    x = 19,801.29

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