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Finding the Fourth Proportional to 18,083.10, 24,938.03 and 12,407.84

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Solution

The fourth proportional to 18,083.10, 24,938.03 and 12,407.84 is: 17,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.10 : 24,938.03 = 12,407.84 : x
  2. Step 2: Convert to fraction form
    18,083.10/24,938.03 = 12,407.84/x
  3. Step 3: Cross multiply
    18,083.10x = 24,938.03 × 12,407.84
  4. Step 4: Simplify right side
    18,083.10x = 309,426,899.43
  5. Step 5: Solve for x
    x = 309,426,899.43/18,083.10
  6. Step 6: Final answer
    x = 17,111.39

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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.