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Finding the Fourth Proportional to 11,973.12, 16,526.64 and 9,733.20

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Solution

The fourth proportional to 11,973.12, 16,526.64 and 9,733.20 is: 13,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.12 : 16,526.64 = 9,733.20 : x
  2. Step 2: Convert to fraction form
    11,973.12/16,526.64 = 9,733.20/x
  3. Step 3: Cross multiply
    11,973.12x = 16,526.64 × 9,733.20
  4. Step 4: Simplify right side
    11,973.12x = 160,857,092.45
  5. Step 5: Solve for x
    x = 160,857,092.45/11,973.12
  6. Step 6: Final answer
    x = 13,434.85

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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.