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Finding the Fourth Proportional to 17,975.52, 24,796.08 and 11,340

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Solution

The fourth proportional to 17,975.52, 24,796.08 and 11,340 is: 15,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.52 : 24,796.08 = 11,340 : x
  2. Step 2: Convert to fraction form
    17,975.52/24,796.08 = 11,340/x
  3. Step 3: Cross multiply
    17,975.52x = 24,796.08 × 11,340
  4. Step 4: Simplify right side
    17,975.52x = 281,187,547.20
  5. Step 5: Solve for x
    x = 281,187,547.20/17,975.52
  6. Step 6: Final answer
    x = 15,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.