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Finding the Fourth Proportional to 15,588.27, 21,504.96 and 9,297

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Solution

The fourth proportional to 15,588.27, 21,504.96 and 9,297 is: 12,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.27 : 21,504.96 = 9,297 : x
  2. Step 2: Convert to fraction form
    15,588.27/21,504.96 = 9,297/x
  3. Step 3: Cross multiply
    15,588.27x = 21,504.96 × 9,297
  4. Step 4: Simplify right side
    15,588.27x = 199,931,613.12
  5. Step 5: Solve for x
    x = 199,931,613.12/15,588.27
  6. Step 6: Final answer
    x = 12,825.77

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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.