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Finding the Fourth Proportional to 17,460, 24,097.23 and 11,185.74

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Solution

The fourth proportional to 17,460, 24,097.23 and 11,185.74 is: 15,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460 : 24,097.23 = 11,185.74 : x
  2. Step 2: Convert to fraction form
    17,460/24,097.23 = 11,185.74/x
  3. Step 3: Cross multiply
    17,460x = 24,097.23 × 11,185.74
  4. Step 4: Simplify right side
    17,460x = 269,545,349.50
  5. Step 5: Solve for x
    x = 269,545,349.50/17,460
  6. Step 6: Final answer
    x = 15,437.88

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1.5x scale

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.