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Finding the Fourth Proportional to 12,703.50, 17,530.83 and 7,114.50

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Solution

The fourth proportional to 12,703.50, 17,530.83 and 7,114.50 is: 9,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.50 : 17,530.83 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    12,703.50/17,530.83 = 7,114.50/x
  3. Step 3: Cross multiply
    12,703.50x = 17,530.83 × 7,114.50
  4. Step 4: Simplify right side
    12,703.50x = 124,723,090.04
  5. Step 5: Solve for x
    x = 124,723,090.04/12,703.50
  6. Step 6: Final answer
    x = 9,818.01

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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.