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Finding the Fourth Proportional to 17,495.96, 24,138.66 and 10,421.42

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Solution

The fourth proportional to 17,495.96, 24,138.66 and 10,421.42 is: 14,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.96 : 24,138.66 = 10,421.42 : x
  2. Step 2: Convert to fraction form
    17,495.96/24,138.66 = 10,421.42/x
  3. Step 3: Cross multiply
    17,495.96x = 24,138.66 × 10,421.42
  4. Step 4: Simplify right side
    17,495.96x = 251,559,114.10
  5. Step 5: Solve for x
    x = 251,559,114.10/17,495.96
  6. Step 6: Final answer
    x = 14,378.13

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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.