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Finding the Fourth Proportional to 12,646.16, 18,967.08 and 3,410

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Solution

The fourth proportional to 12,646.16, 18,967.08 and 3,410 is: 5,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.16 : 18,967.08 = 3,410 : x
  2. Step 2: Convert to fraction form
    12,646.16/18,967.08 = 3,410/x
  3. Step 3: Cross multiply
    12,646.16x = 18,967.08 × 3,410
  4. Step 4: Simplify right side
    12,646.16x = 64,677,742.80
  5. Step 5: Solve for x
    x = 64,677,742.80/12,646.16
  6. Step 6: Final answer
    x = 5,114.42

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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.