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Finding the Fourth Proportional to 14,259.76, 19,678.80 and 8,954.80

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Solution

The fourth proportional to 14,259.76, 19,678.80 and 8,954.80 is: 12,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.76 : 19,678.80 = 8,954.80 : x
  2. Step 2: Convert to fraction form
    14,259.76/19,678.80 = 8,954.80/x
  3. Step 3: Cross multiply
    14,259.76x = 19,678.80 × 8,954.80
  4. Step 4: Simplify right side
    14,259.76x = 176,219,718.24
  5. Step 5: Solve for x
    x = 176,219,718.24/14,259.76
  6. Step 6: Final answer
    x = 12,357.83

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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.