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Finding the Fourth Proportional to 27,748.16, 38,293.86 and 16,424.16

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Solution

The fourth proportional to 27,748.16, 38,293.86 and 16,424.16 is: 22,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.16 : 38,293.86 = 16,424.16 : x
  2. Step 2: Convert to fraction form
    27,748.16/38,293.86 = 16,424.16/x
  3. Step 3: Cross multiply
    27,748.16x = 38,293.86 × 16,424.16
  4. Step 4: Simplify right side
    27,748.16x = 628,944,483.66
  5. Step 5: Solve for x
    x = 628,944,483.66/27,748.16
  6. Step 6: Final answer
    x = 22,666.17

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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.