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Finding the Fourth Proportional to 12,828.68, 17,700.66 and 7,237.64

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Solution

The fourth proportional to 12,828.68, 17,700.66 and 7,237.64 is: 9,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.68 : 17,700.66 = 7,237.64 : x
  2. Step 2: Convert to fraction form
    12,828.68/17,700.66 = 7,237.64/x
  3. Step 3: Cross multiply
    12,828.68x = 17,700.66 × 7,237.64
  4. Step 4: Simplify right side
    12,828.68x = 128,111,004.84
  5. Step 5: Solve for x
    x = 128,111,004.84/12,828.68
  6. Step 6: Final answer
    x = 9,986.30

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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.