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Finding the Fourth Proportional to 14,897.82, 22,356.14 and 8,328.31

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Solution

The fourth proportional to 14,897.82, 22,356.14 and 8,328.31 is: 12,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.82 : 22,356.14 = 8,328.31 : x
  2. Step 2: Convert to fraction form
    14,897.82/22,356.14 = 8,328.31/x
  3. Step 3: Cross multiply
    14,897.82x = 22,356.14 × 8,328.31
  4. Step 4: Simplify right side
    14,897.82x = 186,188,864.32
  5. Step 5: Solve for x
    x = 186,188,864.32/14,897.82
  6. Step 6: Final answer
    x = 12,497.73

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1.5x scale

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.