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Finding the Fourth Proportional to 34,783.12, 52,166.76 and 9,825.76

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Solution

The fourth proportional to 34,783.12, 52,166.76 and 9,825.76 is: 14,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.12 : 52,166.76 = 9,825.76 : x
  2. Step 2: Convert to fraction form
    34,783.12/52,166.76 = 9,825.76/x
  3. Step 3: Cross multiply
    34,783.12x = 52,166.76 × 9,825.76
  4. Step 4: Simplify right side
    34,783.12x = 512,578,063.74
  5. Step 5: Solve for x
    x = 512,578,063.74/34,783.12
  6. Step 6: Final answer
    x = 14,736.40

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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.