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Finding the Fourth Proportional to 14,564.25, 21,799.38 and 7,534.58

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Solution

The fourth proportional to 14,564.25, 21,799.38 and 7,534.58 is: 11,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.25 : 21,799.38 = 7,534.58 : x
  2. Step 2: Convert to fraction form
    14,564.25/21,799.38 = 7,534.58/x
  3. Step 3: Cross multiply
    14,564.25x = 21,799.38 × 7,534.58
  4. Step 4: Simplify right side
    14,564.25x = 164,249,255.31
  5. Step 5: Solve for x
    x = 164,249,255.31/14,564.25
  6. Step 6: Final answer
    x = 11,277.56

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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.