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Finding the Fourth Proportional to 19,814.12, 29,721.12 and 5,023

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Solution

The fourth proportional to 19,814.12, 29,721.12 and 5,023 is: 7,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.12 : 29,721.12 = 5,023 : x
  2. Step 2: Convert to fraction form
    19,814.12/29,721.12 = 5,023/x
  3. Step 3: Cross multiply
    19,814.12x = 29,721.12 × 5,023
  4. Step 4: Simplify right side
    19,814.12x = 149,289,185.76
  5. Step 5: Solve for x
    x = 149,289,185.76/19,814.12
  6. Step 6: Final answer
    x = 7,534.48

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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.