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Finding the Fourth Proportional to 15,677.84, 23,460.62 and 13,576.75

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Solution

The fourth proportional to 15,677.84, 23,460.62 and 13,576.75 is: 20,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.84 : 23,460.62 = 13,576.75 : x
  2. Step 2: Convert to fraction form
    15,677.84/23,460.62 = 13,576.75/x
  3. Step 3: Cross multiply
    15,677.84x = 23,460.62 × 13,576.75
  4. Step 4: Simplify right side
    15,677.84x = 318,518,972.59
  5. Step 5: Solve for x
    x = 318,518,972.59/15,677.84
  6. Step 6: Final answer
    x = 20,316.51

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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.