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Finding the Fourth Proportional to 17,457.04, 24,094 and 10,005.04

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Solution

The fourth proportional to 17,457.04, 24,094 and 10,005.04 is: 13,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.04 : 24,094 = 10,005.04 : x
  2. Step 2: Convert to fraction form
    17,457.04/24,094 = 10,005.04/x
  3. Step 3: Cross multiply
    17,457.04x = 24,094 × 10,005.04
  4. Step 4: Simplify right side
    17,457.04x = 241,061,433.76
  5. Step 5: Solve for x
    x = 241,061,433.76/17,457.04
  6. Step 6: Final answer
    x = 13,808.84

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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.