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Finding the Fourth Proportional to 17,713, 24,429.30 and 11,746.16

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Solution

The fourth proportional to 17,713, 24,429.30 and 11,746.16 is: 16,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713 : 24,429.30 = 11,746.16 : x
  2. Step 2: Convert to fraction form
    17,713/24,429.30 = 11,746.16/x
  3. Step 3: Cross multiply
    17,713x = 24,429.30 × 11,746.16
  4. Step 4: Simplify right side
    17,713x = 286,950,466.49
  5. Step 5: Solve for x
    x = 286,950,466.49/17,713
  6. Step 6: Final answer
    x = 16,199.99

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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.