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Finding the Fourth Proportional to 34,614.44, 51,915.98 and 9,656.18

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Solution

The fourth proportional to 34,614.44, 51,915.98 and 9,656.18 is: 14,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.44 : 51,915.98 = 9,656.18 : x
  2. Step 2: Convert to fraction form
    34,614.44/51,915.98 = 9,656.18/x
  3. Step 3: Cross multiply
    34,614.44x = 51,915.98 × 9,656.18
  4. Step 4: Simplify right side
    34,614.44x = 501,310,047.76
  5. Step 5: Solve for x
    x = 501,310,047.76/34,614.44
  6. Step 6: Final answer
    x = 14,482.69

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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.