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Finding the Fourth Proportional to 14,897.32, 22,355.40 and 8,327.82

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Solution

The fourth proportional to 14,897.32, 22,355.40 and 8,327.82 is: 12,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.32 : 22,355.40 = 8,327.82 : x
  2. Step 2: Convert to fraction form
    14,897.32/22,355.40 = 8,327.82/x
  3. Step 3: Cross multiply
    14,897.32x = 22,355.40 × 8,327.82
  4. Step 4: Simplify right side
    14,897.32x = 186,171,747.23
  5. Step 5: Solve for x
    x = 186,171,747.23/14,897.32
  6. Step 6: Final answer
    x = 12,497.00

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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.