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Finding the Fourth Proportional to 12,874.06, 19,317.30 and 7,030.50

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Solution

The fourth proportional to 12,874.06, 19,317.30 and 7,030.50 is: 10,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.06 : 19,317.30 = 7,030.50 : x
  2. Step 2: Convert to fraction form
    12,874.06/19,317.30 = 7,030.50/x
  3. Step 3: Cross multiply
    12,874.06x = 19,317.30 × 7,030.50
  4. Step 4: Simplify right side
    12,874.06x = 135,810,277.65
  5. Step 5: Solve for x
    x = 135,810,277.65/12,874.06
  6. Step 6: Final answer
    x = 10,549.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.