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Finding the Fourth Proportional to 21,189.40, 29,242.74 and 12,237.28

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Solution

The fourth proportional to 21,189.40, 29,242.74 and 12,237.28 is: 16,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.40 : 29,242.74 = 12,237.28 : x
  2. Step 2: Convert to fraction form
    21,189.40/29,242.74 = 12,237.28/x
  3. Step 3: Cross multiply
    21,189.40x = 29,242.74 × 12,237.28
  4. Step 4: Simplify right side
    21,189.40x = 357,851,597.35
  5. Step 5: Solve for x
    x = 357,851,597.35/21,189.40
  6. Step 6: Final answer
    x = 16,888.24

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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.