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Finding the Fourth Proportional to 21,059.94, 29,068.29 and 13,097.64

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Solution

The fourth proportional to 21,059.94, 29,068.29 and 13,097.64 is: 18,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.94 : 29,068.29 = 13,097.64 : x
  2. Step 2: Convert to fraction form
    21,059.94/29,068.29 = 13,097.64/x
  3. Step 3: Cross multiply
    21,059.94x = 29,068.29 × 13,097.64
  4. Step 4: Simplify right side
    21,059.94x = 380,725,997.84
  5. Step 5: Solve for x
    x = 380,725,997.84/21,059.94
  6. Step 6: Final answer
    x = 18,078.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.