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Finding the Fourth Proportional to 13,232.25, 19,838.01 and 9,059.64

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Solution

The fourth proportional to 13,232.25, 19,838.01 and 9,059.64 is: 13,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.25 : 19,838.01 = 9,059.64 : x
  2. Step 2: Convert to fraction form
    13,232.25/19,838.01 = 9,059.64/x
  3. Step 3: Cross multiply
    13,232.25x = 19,838.01 × 9,059.64
  4. Step 4: Simplify right side
    13,232.25x = 179,725,228.92
  5. Step 5: Solve for x
    x = 179,725,228.92/13,232.25
  6. Step 6: Final answer
    x = 13,582.36

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1.5x scale

Why These Related Problems?

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