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Finding the Fourth Proportional to 12,874.65, 19,298.72 and 7,316.12

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Solution

The fourth proportional to 12,874.65, 19,298.72 and 7,316.12 is: 10,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.65 : 19,298.72 = 7,316.12 : x
  2. Step 2: Convert to fraction form
    12,874.65/19,298.72 = 7,316.12/x
  3. Step 3: Cross multiply
    12,874.65x = 19,298.72 × 7,316.12
  4. Step 4: Simplify right side
    12,874.65x = 141,191,817.90
  5. Step 5: Solve for x
    x = 141,191,817.90/12,874.65
  6. Step 6: Final answer
    x = 10,966.66

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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.