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Finding the Fourth Proportional to 14,008.62, 21,014.14 and 4,646.64

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Solution

The fourth proportional to 14,008.62, 21,014.14 and 4,646.64 is: 6,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.62 : 21,014.14 = 4,646.64 : x
  2. Step 2: Convert to fraction form
    14,008.62/21,014.14 = 4,646.64/x
  3. Step 3: Cross multiply
    14,008.62x = 21,014.14 × 4,646.64
  4. Step 4: Simplify right side
    14,008.62x = 97,645,143.49
  5. Step 5: Solve for x
    x = 97,645,143.49/14,008.62
  6. Step 6: Final answer
    x = 6,970.36

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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.