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Finding the Fourth Proportional to 21,421.41, 29,534.00 and 13,854.39

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Solution

The fourth proportional to 21,421.41, 29,534.00 and 13,854.39 is: 19,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.41 : 29,534.00 = 13,854.39 : x
  2. Step 2: Convert to fraction form
    21,421.41/29,534.00 = 13,854.39/x
  3. Step 3: Cross multiply
    21,421.41x = 29,534.00 × 13,854.39
  4. Step 4: Simplify right side
    21,421.41x = 409,175,484.99
  5. Step 5: Solve for x
    x = 409,175,484.99/21,421.41
  6. Step 6: Final answer
    x = 19,101.24

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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.