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Finding the Fourth Proportional to 24,852.52, 34,288.26 and 14,096.08

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Solution

The fourth proportional to 24,852.52, 34,288.26 and 14,096.08 is: 19,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.52 : 34,288.26 = 14,096.08 : x
  2. Step 2: Convert to fraction form
    24,852.52/34,288.26 = 14,096.08/x
  3. Step 3: Cross multiply
    24,852.52x = 34,288.26 × 14,096.08
  4. Step 4: Simplify right side
    24,852.52x = 483,330,056.02
  5. Step 5: Solve for x
    x = 483,330,056.02/24,852.52
  6. Step 6: Final answer
    x = 19,447.93

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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.