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Finding the Fourth Proportional to 21,406.77, 29,549.18 and 12,909.25

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Solution

The fourth proportional to 21,406.77, 29,549.18 and 12,909.25 is: 17,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.77 : 29,549.18 = 12,909.25 : x
  2. Step 2: Convert to fraction form
    21,406.77/29,549.18 = 12,909.25/x
  3. Step 3: Cross multiply
    21,406.77x = 29,549.18 × 12,909.25
  4. Step 4: Simplify right side
    21,406.77x = 381,457,701.71
  5. Step 5: Solve for x
    x = 381,457,701.71/21,406.77
  6. Step 6: Final answer
    x = 17,819.49

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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.