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Finding the Fourth Proportional to 13,065.12, 19,585.13 and 8,371.98

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Solution

The fourth proportional to 13,065.12, 19,585.13 and 8,371.98 is: 12,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.12 : 19,585.13 = 8,371.98 : x
  2. Step 2: Convert to fraction form
    13,065.12/19,585.13 = 8,371.98/x
  3. Step 3: Cross multiply
    13,065.12x = 19,585.13 × 8,371.98
  4. Step 4: Simplify right side
    13,065.12x = 163,966,274.80
  5. Step 5: Solve for x
    x = 163,966,274.80/13,065.12
  6. Step 6: Final answer
    x = 12,549.92

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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.