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Finding the Fourth Proportional to 12,842.34, 19,263.54 and 4,078.02

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Solution

The fourth proportional to 12,842.34, 19,263.54 and 4,078.02 is: 6,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.34 : 19,263.54 = 4,078.02 : x
  2. Step 2: Convert to fraction form
    12,842.34/19,263.54 = 4,078.02/x
  3. Step 3: Cross multiply
    12,842.34x = 19,263.54 × 4,078.02
  4. Step 4: Simplify right side
    12,842.34x = 78,557,101.39
  5. Step 5: Solve for x
    x = 78,557,101.39/12,842.34
  6. Step 6: Final answer
    x = 6,117.04

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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.