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Finding the Fourth Proportional to 21,009.60, 31,484.70 and 11,653.74

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Solution

The fourth proportional to 21,009.60, 31,484.70 and 11,653.74 is: 17,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.60 : 31,484.70 = 11,653.74 : x
  2. Step 2: Convert to fraction form
    21,009.60/31,484.70 = 11,653.74/x
  3. Step 3: Cross multiply
    21,009.60x = 31,484.70 × 11,653.74
  4. Step 4: Simplify right side
    21,009.60x = 366,914,507.78
  5. Step 5: Solve for x
    x = 366,914,507.78/21,009.60
  6. Step 6: Final answer
    x = 17,464.14

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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.