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Finding the Fourth Proportional to 27,675.06, 41,509.52 and 9,905

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Solution

The fourth proportional to 27,675.06, 41,509.52 and 9,905 is: 14,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.06 : 41,509.52 = 9,905 : x
  2. Step 2: Convert to fraction form
    27,675.06/41,509.52 = 9,905/x
  3. Step 3: Cross multiply
    27,675.06x = 41,509.52 × 9,905
  4. Step 4: Simplify right side
    27,675.06x = 411,151,795.60
  5. Step 5: Solve for x
    x = 411,151,795.60/27,675.06
  6. Step 6: Final answer
    x = 14,856.40

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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.