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Finding the Fourth Proportional to 12,870.96, 19,293.27 and 8,711.38

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Solution

The fourth proportional to 12,870.96, 19,293.27 and 8,711.38 is: 13,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.96 : 19,293.27 = 8,711.38 : x
  2. Step 2: Convert to fraction form
    12,870.96/19,293.27 = 8,711.38/x
  3. Step 3: Cross multiply
    12,870.96x = 19,293.27 × 8,711.38
  4. Step 4: Simplify right side
    12,870.96x = 168,071,006.41
  5. Step 5: Solve for x
    x = 168,071,006.41/12,870.96
  6. Step 6: Final answer
    x = 13,058.16

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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.