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Finding the Fourth Proportional to 27,798.32, 38,346.11 and 16,456.74

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Solution

The fourth proportional to 27,798.32, 38,346.11 and 16,456.74 is: 22,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.32 : 38,346.11 = 16,456.74 : x
  2. Step 2: Convert to fraction form
    27,798.32/38,346.11 = 16,456.74/x
  3. Step 3: Cross multiply
    27,798.32x = 38,346.11 × 16,456.74
  4. Step 4: Simplify right side
    27,798.32x = 631,051,880.00
  5. Step 5: Solve for x
    x = 631,051,880.00/27,798.32
  6. Step 6: Final answer
    x = 22,701.08

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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.