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Finding the Fourth Proportional to 14,549.49, 20,073.03 and 9,516.58

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Solution

The fourth proportional to 14,549.49, 20,073.03 and 9,516.58 is: 13,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.49 : 20,073.03 = 9,516.58 : x
  2. Step 2: Convert to fraction form
    14,549.49/20,073.03 = 9,516.58/x
  3. Step 3: Cross multiply
    14,549.49x = 20,073.03 × 9,516.58
  4. Step 4: Simplify right side
    14,549.49x = 191,026,595.84
  5. Step 5: Solve for x
    x = 191,026,595.84/14,549.49
  6. Step 6: Final answer
    x = 13,129.44

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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.