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Finding the Fourth Proportional to 19,549.42, 29,324.10 and 13,732

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Solution

The fourth proportional to 19,549.42, 29,324.10 and 13,732 is: 20,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.42 : 29,324.10 = 13,732 : x
  2. Step 2: Convert to fraction form
    19,549.42/29,324.10 = 13,732/x
  3. Step 3: Cross multiply
    19,549.42x = 29,324.10 × 13,732
  4. Step 4: Simplify right side
    19,549.42x = 402,678,541.20
  5. Step 5: Solve for x
    x = 402,678,541.20/19,549.42
  6. Step 6: Final answer
    x = 20,597.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.