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Finding the Fourth Proportional to 13,131.92, 19,700.12 and 4,812.56

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Solution

The fourth proportional to 13,131.92, 19,700.12 and 4,812.56 is: 7,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.92 : 19,700.12 = 4,812.56 : x
  2. Step 2: Convert to fraction form
    13,131.92/19,700.12 = 4,812.56/x
  3. Step 3: Cross multiply
    13,131.92x = 19,700.12 × 4,812.56
  4. Step 4: Simplify right side
    13,131.92x = 94,808,009.51
  5. Step 5: Solve for x
    x = 94,808,009.51/13,131.92
  6. Step 6: Final answer
    x = 7,219.66

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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.