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Finding the Fourth Proportional to 14,838.07, 20,483.22 and 9,467.74

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Solution

The fourth proportional to 14,838.07, 20,483.22 and 9,467.74 is: 13,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.07 : 20,483.22 = 9,467.74 : x
  2. Step 2: Convert to fraction form
    14,838.07/20,483.22 = 9,467.74/x
  3. Step 3: Cross multiply
    14,838.07x = 20,483.22 × 9,467.74
  4. Step 4: Simplify right side
    14,838.07x = 193,929,801.32
  5. Step 5: Solve for x
    x = 193,929,801.32/14,838.07
  6. Step 6: Final answer
    x = 13,069.75

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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.