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Finding the Fourth Proportional to 14,572.32, 21,822.66 and 8,316.96

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Solution

The fourth proportional to 14,572.32, 21,822.66 and 8,316.96 is: 12,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.32 : 21,822.66 = 8,316.96 : x
  2. Step 2: Convert to fraction form
    14,572.32/21,822.66 = 8,316.96/x
  3. Step 3: Cross multiply
    14,572.32x = 21,822.66 × 8,316.96
  4. Step 4: Simplify right side
    14,572.32x = 181,498,190.31
  5. Step 5: Solve for x
    x = 181,498,190.31/14,572.32
  6. Step 6: Final answer
    x = 12,455.00

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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.