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Finding the Fourth Proportional to 13,461.81, 18,538.09 and 10,472.61

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Solution

The fourth proportional to 13,461.81, 18,538.09 and 10,472.61 is: 14,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.81 : 18,538.09 = 10,472.61 : x
  2. Step 2: Convert to fraction form
    13,461.81/18,538.09 = 10,472.61/x
  3. Step 3: Cross multiply
    13,461.81x = 18,538.09 × 10,472.61
  4. Step 4: Simplify right side
    13,461.81x = 194,142,186.71
  5. Step 5: Solve for x
    x = 194,142,186.71/13,461.81
  6. Step 6: Final answer
    x = 14,421.70

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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.