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Finding the Fourth Proportional to 12,892.32, 19,323.12 and 5,952

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Solution

The fourth proportional to 12,892.32, 19,323.12 and 5,952 is: 8,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.32 : 19,323.12 = 5,952 : x
  2. Step 2: Convert to fraction form
    12,892.32/19,323.12 = 5,952/x
  3. Step 3: Cross multiply
    12,892.32x = 19,323.12 × 5,952
  4. Step 4: Simplify right side
    12,892.32x = 115,011,210.24
  5. Step 5: Solve for x
    x = 115,011,210.24/12,892.32
  6. Step 6: Final answer
    x = 8,920.91

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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.