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Finding the Fourth Proportional to 17,457.39, 24,115.86 and 13,529.16

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Solution

The fourth proportional to 17,457.39, 24,115.86 and 13,529.16 is: 18,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.39 : 24,115.86 = 13,529.16 : x
  2. Step 2: Convert to fraction form
    17,457.39/24,115.86 = 13,529.16/x
  3. Step 3: Cross multiply
    17,457.39x = 24,115.86 × 13,529.16
  4. Step 4: Simplify right side
    17,457.39x = 326,267,328.48
  5. Step 5: Solve for x
    x = 326,267,328.48/17,457.39
  6. Step 6: Final answer
    x = 18,689.35

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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.