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Finding the Fourth Proportional to 14,917.72, 20,588.14 and 9,545.16

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Solution

The fourth proportional to 14,917.72, 20,588.14 and 9,545.16 is: 13,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.72 : 20,588.14 = 9,545.16 : x
  2. Step 2: Convert to fraction form
    14,917.72/20,588.14 = 9,545.16/x
  3. Step 3: Cross multiply
    14,917.72x = 20,588.14 × 9,545.16
  4. Step 4: Simplify right side
    14,917.72x = 196,517,090.40
  5. Step 5: Solve for x
    x = 196,517,090.40/14,917.72
  6. Step 6: Final answer
    x = 13,173.40

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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.