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Finding the Fourth Proportional to 15,461.84, 23,197.08 and 6,096.08

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Solution

The fourth proportional to 15,461.84, 23,197.08 and 6,096.08 is: 9,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.84 : 23,197.08 = 6,096.08 : x
  2. Step 2: Convert to fraction form
    15,461.84/23,197.08 = 6,096.08/x
  3. Step 3: Cross multiply
    15,461.84x = 23,197.08 × 6,096.08
  4. Step 4: Simplify right side
    15,461.84x = 141,411,255.45
  5. Step 5: Solve for x
    x = 141,411,255.45/15,461.84
  6. Step 6: Final answer
    x = 9,145.82

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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.