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Finding the Fourth Proportional to 14,650.47, 20,214.14 and 8,681.10

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Solution

The fourth proportional to 14,650.47, 20,214.14 and 8,681.10 is: 11,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.47 : 20,214.14 = 8,681.10 : x
  2. Step 2: Convert to fraction form
    14,650.47/20,214.14 = 8,681.10/x
  3. Step 3: Cross multiply
    14,650.47x = 20,214.14 × 8,681.10
  4. Step 4: Simplify right side
    14,650.47x = 175,480,970.75
  5. Step 5: Solve for x
    x = 175,480,970.75/14,650.47
  6. Step 6: Final answer
    x = 11,977.84

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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.