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Finding the Fourth Proportional to 16,962.32, 23,407.72 and 9,510.16

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Solution

The fourth proportional to 16,962.32, 23,407.72 and 9,510.16 is: 13,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.32 : 23,407.72 = 9,510.16 : x
  2. Step 2: Convert to fraction form
    16,962.32/23,407.72 = 9,510.16/x
  3. Step 3: Cross multiply
    16,962.32x = 23,407.72 × 9,510.16
  4. Step 4: Simplify right side
    16,962.32x = 222,611,162.44
  5. Step 5: Solve for x
    x = 222,611,162.44/16,962.32
  6. Step 6: Final answer
    x = 13,123.86

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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.