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Finding the Fourth Proportional to 21,294.90, 29,340.63 and 14,209.02

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Solution

The fourth proportional to 21,294.90, 29,340.63 and 14,209.02 is: 19,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.90 : 29,340.63 = 14,209.02 : x
  2. Step 2: Convert to fraction form
    21,294.90/29,340.63 = 14,209.02/x
  3. Step 3: Cross multiply
    21,294.90x = 29,340.63 × 14,209.02
  4. Step 4: Simplify right side
    21,294.90x = 416,901,598.48
  5. Step 5: Solve for x
    x = 416,901,598.48/21,294.90
  6. Step 6: Final answer
    x = 19,577.53

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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.