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Finding the Fourth Proportional to 12,848.47, 19,263.36 and 8,678.14

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Solution

The fourth proportional to 12,848.47, 19,263.36 and 8,678.14 is: 13,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.47 : 19,263.36 = 8,678.14 : x
  2. Step 2: Convert to fraction form
    12,848.47/19,263.36 = 8,678.14/x
  3. Step 3: Cross multiply
    12,848.47x = 19,263.36 × 8,678.14
  4. Step 4: Simplify right side
    12,848.47x = 167,170,134.95
  5. Step 5: Solve for x
    x = 167,170,134.95/12,848.47
  6. Step 6: Final answer
    x = 13,010.90

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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.