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Finding the Fourth Proportional to 16,506.96, 22,783.56 and 9,437.49

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Solution

The fourth proportional to 16,506.96, 22,783.56 and 9,437.49 is: 13,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.96 : 22,783.56 = 9,437.49 : x
  2. Step 2: Convert to fraction form
    16,506.96/22,783.56 = 9,437.49/x
  3. Step 3: Cross multiply
    16,506.96x = 22,783.56 × 9,437.49
  4. Step 4: Simplify right side
    16,506.96x = 215,019,619.66
  5. Step 5: Solve for x
    x = 215,019,619.66/16,506.96
  6. Step 6: Final answer
    x = 13,026.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.