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Finding the Fourth Proportional to 23,848.32, 35,784 and 9,818.76

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Solution

The fourth proportional to 23,848.32, 35,784 and 9,818.76 is: 14,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.32 : 35,784 = 9,818.76 : x
  2. Step 2: Convert to fraction form
    23,848.32/35,784 = 9,818.76/x
  3. Step 3: Cross multiply
    23,848.32x = 35,784 × 9,818.76
  4. Step 4: Simplify right side
    23,848.32x = 351,354,507.84
  5. Step 5: Solve for x
    x = 351,354,507.84/23,848.32
  6. Step 6: Final answer
    x = 14,732.88

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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.