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Finding the Fourth Proportional to 17,674.34, 24,389.01 and 10,503.71

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Solution

The fourth proportional to 17,674.34, 24,389.01 and 10,503.71 is: 14,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.34 : 24,389.01 = 10,503.71 : x
  2. Step 2: Convert to fraction form
    17,674.34/24,389.01 = 10,503.71/x
  3. Step 3: Cross multiply
    17,674.34x = 24,389.01 × 10,503.71
  4. Step 4: Simplify right side
    17,674.34x = 256,175,088.23
  5. Step 5: Solve for x
    x = 256,175,088.23/17,674.34
  6. Step 6: Final answer
    x = 14,494.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.