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Finding the Fourth Proportional to 12,564.95, 17,333.64 and 7,526.75

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Solution

The fourth proportional to 12,564.95, 17,333.64 and 7,526.75 is: 10,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.95 : 17,333.64 = 7,526.75 : x
  2. Step 2: Convert to fraction form
    12,564.95/17,333.64 = 7,526.75/x
  3. Step 3: Cross multiply
    12,564.95x = 17,333.64 × 7,526.75
  4. Step 4: Simplify right side
    12,564.95x = 130,465,974.87
  5. Step 5: Solve for x
    x = 130,465,974.87/12,564.95
  6. Step 6: Final answer
    x = 10,383.33

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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.