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Finding the Fourth Proportional to 21,465.97, 29,597.30 and 13,909.54

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Solution

The fourth proportional to 21,465.97, 29,597.30 and 13,909.54 is: 19,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.97 : 29,597.30 = 13,909.54 : x
  2. Step 2: Convert to fraction form
    21,465.97/29,597.30 = 13,909.54/x
  3. Step 3: Cross multiply
    21,465.97x = 29,597.30 × 13,909.54
  4. Step 4: Simplify right side
    21,465.97x = 411,684,828.24
  5. Step 5: Solve for x
    x = 411,684,828.24/21,465.97
  6. Step 6: Final answer
    x = 19,178.49

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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.