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Finding the Fourth Proportional to 13,430.10, 18,532.68 and 7,461.48

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Solution

The fourth proportional to 13,430.10, 18,532.68 and 7,461.48 is: 10,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.10 : 18,532.68 = 7,461.48 : x
  2. Step 2: Convert to fraction form
    13,430.10/18,532.68 = 7,461.48/x
  3. Step 3: Cross multiply
    13,430.10x = 18,532.68 × 7,461.48
  4. Step 4: Simplify right side
    13,430.10x = 138,281,221.17
  5. Step 5: Solve for x
    x = 138,281,221.17/13,430.10
  6. Step 6: Final answer
    x = 10,296.37

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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.