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Finding the Fourth Proportional to 15,497.84, 23,247.24 and 7,381.64

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Solution

The fourth proportional to 15,497.84, 23,247.24 and 7,381.64 is: 11,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.84 : 23,247.24 = 7,381.64 : x
  2. Step 2: Convert to fraction form
    15,497.84/23,247.24 = 7,381.64/x
  3. Step 3: Cross multiply
    15,497.84x = 23,247.24 × 7,381.64
  4. Step 4: Simplify right side
    15,497.84x = 171,602,756.67
  5. Step 5: Solve for x
    x = 171,602,756.67/15,497.84
  6. Step 6: Final answer
    x = 11,072.69

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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.