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Finding the Fourth Proportional to 14,106.41, 19,458.03 and 9,077.18

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Solution

The fourth proportional to 14,106.41, 19,458.03 and 9,077.18 is: 12,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.41 : 19,458.03 = 9,077.18 : x
  2. Step 2: Convert to fraction form
    14,106.41/19,458.03 = 9,077.18/x
  3. Step 3: Cross multiply
    14,106.41x = 19,458.03 × 9,077.18
  4. Step 4: Simplify right side
    14,106.41x = 176,623,995.37
  5. Step 5: Solve for x
    x = 176,623,995.37/14,106.41
  6. Step 6: Final answer
    x = 12,520.83

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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.