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Finding the Fourth Proportional to 22,465.84, 31,009.56 and 13,038.64

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Solution

The fourth proportional to 22,465.84, 31,009.56 and 13,038.64 is: 17,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.84 : 31,009.56 = 13,038.64 : x
  2. Step 2: Convert to fraction form
    22,465.84/31,009.56 = 13,038.64/x
  3. Step 3: Cross multiply
    22,465.84x = 31,009.56 × 13,038.64
  4. Step 4: Simplify right side
    22,465.84x = 404,322,489.40
  5. Step 5: Solve for x
    x = 404,322,489.40/22,465.84
  6. Step 6: Final answer
    x = 17,997.21

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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.