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Finding the Fourth Proportional to 21,235.46, 31,853.27 and 6,444.50

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Solution

The fourth proportional to 21,235.46, 31,853.27 and 6,444.50 is: 9,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.46 : 31,853.27 = 6,444.50 : x
  2. Step 2: Convert to fraction form
    21,235.46/31,853.27 = 6,444.50/x
  3. Step 3: Cross multiply
    21,235.46x = 31,853.27 × 6,444.50
  4. Step 4: Simplify right side
    21,235.46x = 205,278,366.29
  5. Step 5: Solve for x
    x = 205,278,366.29/21,235.46
  6. Step 6: Final answer
    x = 9,666.77

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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.