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Finding the Fourth Proportional to 15,889.68, 23,824.80 and 7,569.36

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Solution

The fourth proportional to 15,889.68, 23,824.80 and 7,569.36 is: 11,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.68 : 23,824.80 = 7,569.36 : x
  2. Step 2: Convert to fraction form
    15,889.68/23,824.80 = 7,569.36/x
  3. Step 3: Cross multiply
    15,889.68x = 23,824.80 × 7,569.36
  4. Step 4: Simplify right side
    15,889.68x = 180,338,488.13
  5. Step 5: Solve for x
    x = 180,338,488.13/15,889.68
  6. Step 6: Final answer
    x = 11,349.41

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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.