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Finding the Fourth Proportional to 21,533.36, 29,706.90 and 13,145

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Solution

The fourth proportional to 21,533.36, 29,706.90 and 13,145 is: 18,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.36 : 29,706.90 = 13,145 : x
  2. Step 2: Convert to fraction form
    21,533.36/29,706.90 = 13,145/x
  3. Step 3: Cross multiply
    21,533.36x = 29,706.90 × 13,145
  4. Step 4: Simplify right side
    21,533.36x = 390,497,200.50
  5. Step 5: Solve for x
    x = 390,497,200.50/21,533.36
  6. Step 6: Final answer
    x = 18,134.52

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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.