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Finding the Fourth Proportional to 21,145.68, 29,178.90 and 12,646.11

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Solution

The fourth proportional to 21,145.68, 29,178.90 and 12,646.11 is: 17,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.68 : 29,178.90 = 12,646.11 : x
  2. Step 2: Convert to fraction form
    21,145.68/29,178.90 = 12,646.11/x
  3. Step 3: Cross multiply
    21,145.68x = 29,178.90 × 12,646.11
  4. Step 4: Simplify right side
    21,145.68x = 368,999,688.50
  5. Step 5: Solve for x
    x = 368,999,688.50/21,145.68
  6. Step 6: Final answer
    x = 17,450.36

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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.