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Finding the Fourth Proportional to 35,638.40, 53,469.47 and 11,948.28

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Solution

The fourth proportional to 35,638.40, 53,469.47 and 11,948.28 is: 17,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.40 : 53,469.47 = 11,948.28 : x
  2. Step 2: Convert to fraction form
    35,638.40/53,469.47 = 11,948.28/x
  3. Step 3: Cross multiply
    35,638.40x = 53,469.47 × 11,948.28
  4. Step 4: Simplify right side
    35,638.40x = 638,868,139.27
  5. Step 5: Solve for x
    x = 638,868,139.27/35,638.40
  6. Step 6: Final answer
    x = 17,926.40

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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.