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Finding the Fourth Proportional to 13,703.13, 20,539.85 and 7,030.49

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Solution

The fourth proportional to 13,703.13, 20,539.85 and 7,030.49 is: 10,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.13 : 20,539.85 = 7,030.49 : x
  2. Step 2: Convert to fraction form
    13,703.13/20,539.85 = 7,030.49/x
  3. Step 3: Cross multiply
    13,703.13x = 20,539.85 × 7,030.49
  4. Step 4: Simplify right side
    13,703.13x = 144,405,072.17
  5. Step 5: Solve for x
    x = 144,405,072.17/13,703.13
  6. Step 6: Final answer
    x = 10,538.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.