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Finding the Fourth Proportional to 13,588.66, 18,753.12 and 10,225.44

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Solution

The fourth proportional to 13,588.66, 18,753.12 and 10,225.44 is: 14,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.66 : 18,753.12 = 10,225.44 : x
  2. Step 2: Convert to fraction form
    13,588.66/18,753.12 = 10,225.44/x
  3. Step 3: Cross multiply
    13,588.66x = 18,753.12 × 10,225.44
  4. Step 4: Simplify right side
    13,588.66x = 191,758,903.37
  5. Step 5: Solve for x
    x = 191,758,903.37/13,588.66
  6. Step 6: Final answer
    x = 14,111.68

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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.