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Finding the Fourth Proportional to 14,005.88, 19,324.74 and 9,225.32

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Solution

The fourth proportional to 14,005.88, 19,324.74 and 9,225.32 is: 12,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.88 : 19,324.74 = 9,225.32 : x
  2. Step 2: Convert to fraction form
    14,005.88/19,324.74 = 9,225.32/x
  3. Step 3: Cross multiply
    14,005.88x = 19,324.74 × 9,225.32
  4. Step 4: Simplify right side
    14,005.88x = 178,276,910.42
  5. Step 5: Solve for x
    x = 178,276,910.42/14,005.88
  6. Step 6: Final answer
    x = 12,728.72

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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.