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Finding the Fourth Proportional to 13,143.46, 19,715.19 and 5,347.06

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Solution

The fourth proportional to 13,143.46, 19,715.19 and 5,347.06 is: 8,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.46 : 19,715.19 = 5,347.06 : x
  2. Step 2: Convert to fraction form
    13,143.46/19,715.19 = 5,347.06/x
  3. Step 3: Cross multiply
    13,143.46x = 19,715.19 × 5,347.06
  4. Step 4: Simplify right side
    13,143.46x = 105,418,303.84
  5. Step 5: Solve for x
    x = 105,418,303.84/13,143.46
  6. Step 6: Final answer
    x = 8,020.59

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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.