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Finding the Fourth Proportional to 13,646.64, 18,841.50 and 10,302.96

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Solution

The fourth proportional to 13,646.64, 18,841.50 and 10,302.96 is: 14,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.64 : 18,841.50 = 10,302.96 : x
  2. Step 2: Convert to fraction form
    13,646.64/18,841.50 = 10,302.96/x
  3. Step 3: Cross multiply
    13,646.64x = 18,841.50 × 10,302.96
  4. Step 4: Simplify right side
    13,646.64x = 194,123,220.84
  5. Step 5: Solve for x
    x = 194,123,220.84/13,646.64
  6. Step 6: Final answer
    x = 14,224.98

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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.