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Finding the Fourth Proportional to 13,430.40, 18,533.04 and 7,461.60

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Solution

The fourth proportional to 13,430.40, 18,533.04 and 7,461.60 is: 10,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.40 : 18,533.04 = 7,461.60 : x
  2. Step 2: Convert to fraction form
    13,430.40/18,533.04 = 7,461.60/x
  3. Step 3: Cross multiply
    13,430.40x = 18,533.04 × 7,461.60
  4. Step 4: Simplify right side
    13,430.40x = 138,286,131.26
  5. Step 5: Solve for x
    x = 138,286,131.26/13,430.40
  6. Step 6: Final answer
    x = 10,296.50

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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.