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Finding the Fourth Proportional to 14,564.44, 21,824.95 and 7,535.07

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Solution

The fourth proportional to 14,564.44, 21,824.95 and 7,535.07 is: 11,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.44 : 21,824.95 = 7,535.07 : x
  2. Step 2: Convert to fraction form
    14,564.44/21,824.95 = 7,535.07/x
  3. Step 3: Cross multiply
    14,564.44x = 21,824.95 × 7,535.07
  4. Step 4: Simplify right side
    14,564.44x = 164,452,526.00
  5. Step 5: Solve for x
    x = 164,452,526.00/14,564.44
  6. Step 6: Final answer
    x = 11,291.37

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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.