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Finding the Fourth Proportional to 11,758.72, 17,613.38 and 9,545

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Solution

The fourth proportional to 11,758.72, 17,613.38 and 9,545 is: 14,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.72 : 17,613.38 = 9,545 : x
  2. Step 2: Convert to fraction form
    11,758.72/17,613.38 = 9,545/x
  3. Step 3: Cross multiply
    11,758.72x = 17,613.38 × 9,545
  4. Step 4: Simplify right side
    11,758.72x = 168,119,712.10
  5. Step 5: Solve for x
    x = 168,119,712.10/11,758.72
  6. Step 6: Final answer
    x = 14,297.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.