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Finding the Fourth Proportional to 15,678.64, 23,511.83 and 5,681.01

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Solution

The fourth proportional to 15,678.64, 23,511.83 and 5,681.01 is: 8,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.64 : 23,511.83 = 5,681.01 : x
  2. Step 2: Convert to fraction form
    15,678.64/23,511.83 = 5,681.01/x
  3. Step 3: Cross multiply
    15,678.64x = 23,511.83 × 5,681.01
  4. Step 4: Simplify right side
    15,678.64x = 133,571,043.72
  5. Step 5: Solve for x
    x = 133,571,043.72/15,678.64
  6. Step 6: Final answer
    x = 8,519.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.