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Finding the Fourth Proportional to 13,129.75, 18,117.47 and 7,464.50

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Solution

The fourth proportional to 13,129.75, 18,117.47 and 7,464.50 is: 10,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.75 : 18,117.47 = 7,464.50 : x
  2. Step 2: Convert to fraction form
    13,129.75/18,117.47 = 7,464.50/x
  3. Step 3: Cross multiply
    13,129.75x = 18,117.47 × 7,464.50
  4. Step 4: Simplify right side
    13,129.75x = 135,237,952.74
  5. Step 5: Solve for x
    x = 135,237,952.74/13,129.75
  6. Step 6: Final answer
    x = 10,300.12

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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.