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Finding the Fourth Proportional to 13,430.48, 18,533.15 and 7,381.14

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Solution

The fourth proportional to 13,430.48, 18,533.15 and 7,381.14 is: 10,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.48 : 18,533.15 = 7,381.14 : x
  2. Step 2: Convert to fraction form
    13,430.48/18,533.15 = 7,381.14/x
  3. Step 3: Cross multiply
    13,430.48x = 18,533.15 × 7,381.14
  4. Step 4: Simplify right side
    13,430.48x = 136,795,834.22
  5. Step 5: Solve for x
    x = 136,795,834.22/13,430.48
  6. Step 6: Final answer
    x = 10,185.48

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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.