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Finding the Fourth Proportional to 27,005.76, 40,518.36 and 9,478.32

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Solution

The fourth proportional to 27,005.76, 40,518.36 and 9,478.32 is: 14,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.76 : 40,518.36 = 9,478.32 : x
  2. Step 2: Convert to fraction form
    27,005.76/40,518.36 = 9,478.32/x
  3. Step 3: Cross multiply
    27,005.76x = 40,518.36 × 9,478.32
  4. Step 4: Simplify right side
    27,005.76x = 384,045,981.96
  5. Step 5: Solve for x
    x = 384,045,981.96/27,005.76
  6. Step 6: Final answer
    x = 14,220.89

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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.