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Finding the Fourth Proportional to 15,673.12, 23,509.74 and 3,986.32

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Solution

The fourth proportional to 15,673.12, 23,509.74 and 3,986.32 is: 5,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.12 : 23,509.74 = 3,986.32 : x
  2. Step 2: Convert to fraction form
    15,673.12/23,509.74 = 3,986.32/x
  3. Step 3: Cross multiply
    15,673.12x = 23,509.74 × 3,986.32
  4. Step 4: Simplify right side
    15,673.12x = 93,717,346.76
  5. Step 5: Solve for x
    x = 93,717,346.76/15,673.12
  6. Step 6: Final answer
    x = 5,979.50

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Why These Related Problems?

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