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Finding the Fourth Proportional to 13,145.34, 19,718.01 and 6,574.62

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Solution

The fourth proportional to 13,145.34, 19,718.01 and 6,574.62 is: 9,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.34 : 19,718.01 = 6,574.62 : x
  2. Step 2: Convert to fraction form
    13,145.34/19,718.01 = 6,574.62/x
  3. Step 3: Cross multiply
    13,145.34x = 19,718.01 × 6,574.62
  4. Step 4: Simplify right side
    13,145.34x = 129,638,422.91
  5. Step 5: Solve for x
    x = 129,638,422.91/13,145.34
  6. Step 6: Final answer
    x = 9,861.93

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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.