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Finding the Fourth Proportional to 16,415.90, 22,653.02 and 9,702.15

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Solution

The fourth proportional to 16,415.90, 22,653.02 and 9,702.15 is: 13,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.90 : 22,653.02 = 9,702.15 : x
  2. Step 2: Convert to fraction form
    16,415.90/22,653.02 = 9,702.15/x
  3. Step 3: Cross multiply
    16,415.90x = 22,653.02 × 9,702.15
  4. Step 4: Simplify right side
    16,415.90x = 219,782,997.99
  5. Step 5: Solve for x
    x = 219,782,997.99/16,415.90
  6. Step 6: Final answer
    x = 13,388.42

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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.