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Finding the Fourth Proportional to 14,881.68, 20,537.62 and 9,837.14

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Solution

The fourth proportional to 14,881.68, 20,537.62 and 9,837.14 is: 13,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.68 : 20,537.62 = 9,837.14 : x
  2. Step 2: Convert to fraction form
    14,881.68/20,537.62 = 9,837.14/x
  3. Step 3: Cross multiply
    14,881.68x = 20,537.62 × 9,837.14
  4. Step 4: Simplify right side
    14,881.68x = 202,031,443.21
  5. Step 5: Solve for x
    x = 202,031,443.21/14,881.68
  6. Step 6: Final answer
    x = 13,575.85

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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.