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Finding the Fourth Proportional to 13,122.47, 18,111.72 and 7,457.60

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Solution

The fourth proportional to 13,122.47, 18,111.72 and 7,457.60 is: 10,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.47 : 18,111.72 = 7,457.60 : x
  2. Step 2: Convert to fraction form
    13,122.47/18,111.72 = 7,457.60/x
  3. Step 3: Cross multiply
    13,122.47x = 18,111.72 × 7,457.60
  4. Step 4: Simplify right side
    13,122.47x = 135,069,872.51
  5. Step 5: Solve for x
    x = 135,069,872.51/13,122.47
  6. Step 6: Final answer
    x = 10,293.03

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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.