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Finding the Fourth Proportional to 13,242.74, 19,864.12 and 4,924.86

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Solution

The fourth proportional to 13,242.74, 19,864.12 and 4,924.86 is: 7,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.74 : 19,864.12 = 4,924.86 : x
  2. Step 2: Convert to fraction form
    13,242.74/19,864.12 = 4,924.86/x
  3. Step 3: Cross multiply
    13,242.74x = 19,864.12 × 4,924.86
  4. Step 4: Simplify right side
    13,242.74x = 97,828,010.02
  5. Step 5: Solve for x
    x = 97,828,010.02/13,242.74
  6. Step 6: Final answer
    x = 7,387.29

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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.