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Finding the Fourth Proportional to 21,770.25, 30,038.09 and 12,818.13

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Solution

The fourth proportional to 21,770.25, 30,038.09 and 12,818.13 is: 17,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.25 : 30,038.09 = 12,818.13 : x
  2. Step 2: Convert to fraction form
    21,770.25/30,038.09 = 12,818.13/x
  3. Step 3: Cross multiply
    21,770.25x = 30,038.09 × 12,818.13
  4. Step 4: Simplify right side
    21,770.25x = 385,032,078.48
  5. Step 5: Solve for x
    x = 385,032,078.48/21,770.25
  6. Step 6: Final answer
    x = 17,686.16

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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.