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Finding the Fourth Proportional to 21,709.38, 32,568.94 and 7,670.46

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Solution

The fourth proportional to 21,709.38, 32,568.94 and 7,670.46 is: 11,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.38 : 32,568.94 = 7,670.46 : x
  2. Step 2: Convert to fraction form
    21,709.38/32,568.94 = 7,670.46/x
  3. Step 3: Cross multiply
    21,709.38x = 32,568.94 × 7,670.46
  4. Step 4: Simplify right side
    21,709.38x = 249,818,751.51
  5. Step 5: Solve for x
    x = 249,818,751.51/21,709.38
  6. Step 6: Final answer
    x = 11,507.41

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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.