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Finding the Fourth Proportional to 29,136.32, 43,700.16 and 10,664

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Solution

The fourth proportional to 29,136.32, 43,700.16 and 10,664 is: 15,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136.32 : 43,700.16 = 10,664 : x
  2. Step 2: Convert to fraction form
    29,136.32/43,700.16 = 10,664/x
  3. Step 3: Cross multiply
    29,136.32x = 43,700.16 × 10,664
  4. Step 4: Simplify right side
    29,136.32x = 466,018,506.24
  5. Step 5: Solve for x
    x = 466,018,506.24/29,136.32
  6. Step 6: Final answer
    x = 15,994.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.