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Finding the Fourth Proportional to 13,588.72, 18,749.83 and 8,210.07

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Solution

The fourth proportional to 13,588.72, 18,749.83 and 8,210.07 is: 11,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.72 : 18,749.83 = 8,210.07 : x
  2. Step 2: Convert to fraction form
    13,588.72/18,749.83 = 8,210.07/x
  3. Step 3: Cross multiply
    13,588.72x = 18,749.83 × 8,210.07
  4. Step 4: Simplify right side
    13,588.72x = 153,937,416.79
  5. Step 5: Solve for x
    x = 153,937,416.79/13,588.72
  6. Step 6: Final answer
    x = 11,328.32

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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.