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Finding the Fourth Proportional to 15,187.94, 20,969.10 and 9,530.46

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Solution

The fourth proportional to 15,187.94, 20,969.10 and 9,530.46 is: 13,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.94 : 20,969.10 = 9,530.46 : x
  2. Step 2: Convert to fraction form
    15,187.94/20,969.10 = 9,530.46/x
  3. Step 3: Cross multiply
    15,187.94x = 20,969.10 × 9,530.46
  4. Step 4: Simplify right side
    15,187.94x = 199,845,168.79
  5. Step 5: Solve for x
    x = 199,845,168.79/15,187.94
  6. Step 6: Final answer
    x = 13,158.15

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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.