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Finding the Fourth Proportional to 27,398.40, 37,812 and 15,464.64

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Solution

The fourth proportional to 27,398.40, 37,812 and 15,464.64 is: 21,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.40 : 37,812 = 15,464.64 : x
  2. Step 2: Convert to fraction form
    27,398.40/37,812 = 15,464.64/x
  3. Step 3: Cross multiply
    27,398.40x = 37,812 × 15,464.64
  4. Step 4: Simplify right side
    27,398.40x = 584,748,967.68
  5. Step 5: Solve for x
    x = 584,748,967.68/27,398.40
  6. Step 6: Final answer
    x = 21,342.45

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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.