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Finding the Fourth Proportional to 13,099.51, 19,649.40 and 5,306.50

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Solution

The fourth proportional to 13,099.51, 19,649.40 and 5,306.50 is: 7,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.51 : 19,649.40 = 5,306.50 : x
  2. Step 2: Convert to fraction form
    13,099.51/19,649.40 = 5,306.50/x
  3. Step 3: Cross multiply
    13,099.51x = 19,649.40 × 5,306.50
  4. Step 4: Simplify right side
    13,099.51x = 104,269,541.10
  5. Step 5: Solve for x
    x = 104,269,541.10/13,099.51
  6. Step 6: Final answer
    x = 7,959.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.