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Finding the Fourth Proportional to 16,398.98, 22,633.95 and 10,429.50

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Solution

The fourth proportional to 16,398.98, 22,633.95 and 10,429.50 is: 14,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.98 : 22,633.95 = 10,429.50 : x
  2. Step 2: Convert to fraction form
    16,398.98/22,633.95 = 10,429.50/x
  3. Step 3: Cross multiply
    16,398.98x = 22,633.95 × 10,429.50
  4. Step 4: Simplify right side
    16,398.98x = 236,060,781.53
  5. Step 5: Solve for x
    x = 236,060,781.53/16,398.98
  6. Step 6: Final answer
    x = 14,394.85

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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.