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Finding the Fourth Proportional to 17,484.53, 24,119.17 and 10,409.58

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Solution

The fourth proportional to 17,484.53, 24,119.17 and 10,409.58 is: 14,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.53 : 24,119.17 = 10,409.58 : x
  2. Step 2: Convert to fraction form
    17,484.53/24,119.17 = 10,409.58/x
  3. Step 3: Cross multiply
    17,484.53x = 24,119.17 × 10,409.58
  4. Step 4: Simplify right side
    17,484.53x = 251,070,403.62
  5. Step 5: Solve for x
    x = 251,070,403.62/17,484.53
  6. Step 6: Final answer
    x = 14,359.58

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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.