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Finding the Fourth Proportional to 17,024.80, 25,537.20 and 12,316

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Solution

The fourth proportional to 17,024.80, 25,537.20 and 12,316 is: 18,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.80 : 25,537.20 = 12,316 : x
  2. Step 2: Convert to fraction form
    17,024.80/25,537.20 = 12,316/x
  3. Step 3: Cross multiply
    17,024.80x = 25,537.20 × 12,316
  4. Step 4: Simplify right side
    17,024.80x = 314,516,155.20
  5. Step 5: Solve for x
    x = 314,516,155.20/17,024.80
  6. Step 6: Final answer
    x = 18,474

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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.