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Finding the Fourth Proportional to 24,497.84, 36,750.02 and 7,852.34

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Solution

The fourth proportional to 24,497.84, 36,750.02 and 7,852.34 is: 11,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.84 : 36,750.02 = 7,852.34 : x
  2. Step 2: Convert to fraction form
    24,497.84/36,750.02 = 7,852.34/x
  3. Step 3: Cross multiply
    24,497.84x = 36,750.02 × 7,852.34
  4. Step 4: Simplify right side
    24,497.84x = 288,573,704.66
  5. Step 5: Solve for x
    x = 288,573,704.66/24,497.84
  6. Step 6: Final answer
    x = 11,779.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.