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Finding the Fourth Proportional to 21,368.18, 29,478.50 and 12,410.83

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Solution

The fourth proportional to 21,368.18, 29,478.50 and 12,410.83 is: 17,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.18 : 29,478.50 = 12,410.83 : x
  2. Step 2: Convert to fraction form
    21,368.18/29,478.50 = 12,410.83/x
  3. Step 3: Cross multiply
    21,368.18x = 29,478.50 × 12,410.83
  4. Step 4: Simplify right side
    21,368.18x = 365,852,652.16
  5. Step 5: Solve for x
    x = 365,852,652.16/21,368.18
  6. Step 6: Final answer
    x = 17,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.