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Finding the Fourth Proportional to 12,844.74, 19,265.10 and 4,078.50

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Solution

The fourth proportional to 12,844.74, 19,265.10 and 4,078.50 is: 6,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.74 : 19,265.10 = 4,078.50 : x
  2. Step 2: Convert to fraction form
    12,844.74/19,265.10 = 4,078.50/x
  3. Step 3: Cross multiply
    12,844.74x = 19,265.10 × 4,078.50
  4. Step 4: Simplify right side
    12,844.74x = 78,572,710.35
  5. Step 5: Solve for x
    x = 78,572,710.35/12,844.74
  6. Step 6: Final answer
    x = 6,117.11

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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.