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Finding the Fourth Proportional to 27,413, 37,829.66 and 15,475.64

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Solution

The fourth proportional to 27,413, 37,829.66 and 15,475.64 is: 21,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413 : 37,829.66 = 15,475.64 : x
  2. Step 2: Convert to fraction form
    27,413/37,829.66 = 15,475.64/x
  3. Step 3: Cross multiply
    27,413x = 37,829.66 × 15,475.64
  4. Step 4: Simplify right side
    27,413x = 585,438,199.48
  5. Step 5: Solve for x
    x = 585,438,199.48/27,413
  6. Step 6: Final answer
    x = 21,356.23

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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.