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Finding the Fourth Proportional to 12,008.52, 16,548.84 and 8,645.40

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Solution

The fourth proportional to 12,008.52, 16,548.84 and 8,645.40 is: 11,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.52 : 16,548.84 = 8,645.40 : x
  2. Step 2: Convert to fraction form
    12,008.52/16,548.84 = 8,645.40/x
  3. Step 3: Cross multiply
    12,008.52x = 16,548.84 × 8,645.40
  4. Step 4: Simplify right side
    12,008.52x = 143,071,341.34
  5. Step 5: Solve for x
    x = 143,071,341.34/12,008.52
  6. Step 6: Final answer
    x = 11,914.15

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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.