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Finding the Fourth Proportional to 17,374.68, 23,974.02 and 10,302.84

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Solution

The fourth proportional to 17,374.68, 23,974.02 and 10,302.84 is: 14,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.68 : 23,974.02 = 10,302.84 : x
  2. Step 2: Convert to fraction form
    17,374.68/23,974.02 = 10,302.84/x
  3. Step 3: Cross multiply
    17,374.68x = 23,974.02 × 10,302.84
  4. Step 4: Simplify right side
    17,374.68x = 247,000,492.22
  5. Step 5: Solve for x
    x = 247,000,492.22/17,374.68
  6. Step 6: Final answer
    x = 14,216.12

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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.