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Finding the Fourth Proportional to 10,178.76, 14,022.36 and 9,678.45

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Solution

The fourth proportional to 10,178.76, 14,022.36 and 9,678.45 is: 13,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.76 : 14,022.36 = 9,678.45 : x
  2. Step 2: Convert to fraction form
    10,178.76/14,022.36 = 9,678.45/x
  3. Step 3: Cross multiply
    10,178.76x = 14,022.36 × 9,678.45
  4. Step 4: Simplify right side
    10,178.76x = 135,714,710.14
  5. Step 5: Solve for x
    x = 135,714,710.14/10,178.76
  6. Step 6: Final answer
    x = 13,333.13

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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.