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Finding the Fourth Proportional to 19,992.56, 29,949.96 and 13,046

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Solution

The fourth proportional to 19,992.56, 29,949.96 and 13,046 is: 19,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.56 : 29,949.96 = 13,046 : x
  2. Step 2: Convert to fraction form
    19,992.56/29,949.96 = 13,046/x
  3. Step 3: Cross multiply
    19,992.56x = 29,949.96 × 13,046
  4. Step 4: Simplify right side
    19,992.56x = 390,727,178.16
  5. Step 5: Solve for x
    x = 390,727,178.16/19,992.56
  6. Step 6: Final answer
    x = 19,543.63

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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.