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Finding the Fourth Proportional to 19,664.16, 29,510.64 and 13,103.04

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Solution

The fourth proportional to 19,664.16, 29,510.64 and 13,103.04 is: 19,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.16 : 29,510.64 = 13,103.04 : x
  2. Step 2: Convert to fraction form
    19,664.16/29,510.64 = 13,103.04/x
  3. Step 3: Cross multiply
    19,664.16x = 29,510.64 × 13,103.04
  4. Step 4: Simplify right side
    19,664.16x = 386,679,096.35
  5. Step 5: Solve for x
    x = 386,679,096.35/19,664.16
  6. Step 6: Final answer
    x = 19,664.16

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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.