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Finding the Fourth Proportional to 14,077.92, 19,428 and 8,412.48

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Solution

The fourth proportional to 14,077.92, 19,428 and 8,412.48 is: 11,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.92 : 19,428 = 8,412.48 : x
  2. Step 2: Convert to fraction form
    14,077.92/19,428 = 8,412.48/x
  3. Step 3: Cross multiply
    14,077.92x = 19,428 × 8,412.48
  4. Step 4: Simplify right side
    14,077.92x = 163,437,661.44
  5. Step 5: Solve for x
    x = 163,437,661.44/14,077.92
  6. Step 6: Final answer
    x = 11,609.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.