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Finding the Fourth Proportional to 12,681.14, 19,023.94 and 4,362.02

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Solution

The fourth proportional to 12,681.14, 19,023.94 and 4,362.02 is: 6,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.14 : 19,023.94 = 4,362.02 : x
  2. Step 2: Convert to fraction form
    12,681.14/19,023.94 = 4,362.02/x
  3. Step 3: Cross multiply
    12,681.14x = 19,023.94 × 4,362.02
  4. Step 4: Simplify right side
    12,681.14x = 82,982,806.76
  5. Step 5: Solve for x
    x = 82,982,806.76/12,681.14
  6. Step 6: Final answer
    x = 6,543.80

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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.