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Finding the Fourth Proportional to 17,537.18, 24,199.97 and 10,820.25

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Solution

The fourth proportional to 17,537.18, 24,199.97 and 10,820.25 is: 14,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.18 : 24,199.97 = 10,820.25 : x
  2. Step 2: Convert to fraction form
    17,537.18/24,199.97 = 10,820.25/x
  3. Step 3: Cross multiply
    17,537.18x = 24,199.97 × 10,820.25
  4. Step 4: Simplify right side
    17,537.18x = 261,849,671.29
  5. Step 5: Solve for x
    x = 261,849,671.29/17,537.18
  6. Step 6: Final answer
    x = 14,931.12

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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.