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Finding the Fourth Proportional to 14,179.76, 19,568.76 and 8,210.36

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Solution

The fourth proportional to 14,179.76, 19,568.76 and 8,210.36 is: 11,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.76 : 19,568.76 = 8,210.36 : x
  2. Step 2: Convert to fraction form
    14,179.76/19,568.76 = 8,210.36/x
  3. Step 3: Cross multiply
    14,179.76x = 19,568.76 × 8,210.36
  4. Step 4: Simplify right side
    14,179.76x = 160,666,564.35
  5. Step 5: Solve for x
    x = 160,666,564.35/14,179.76
  6. Step 6: Final answer
    x = 11,330.70

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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.