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Finding the Fourth Proportional to 15,838.52, 21,859.61 and 9,032.55

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Solution

The fourth proportional to 15,838.52, 21,859.61 and 9,032.55 is: 12,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.52 : 21,859.61 = 9,032.55 : x
  2. Step 2: Convert to fraction form
    15,838.52/21,859.61 = 9,032.55/x
  3. Step 3: Cross multiply
    15,838.52x = 21,859.61 × 9,032.55
  4. Step 4: Simplify right side
    15,838.52x = 197,448,028.83
  5. Step 5: Solve for x
    x = 197,448,028.83/15,838.52
  6. Step 6: Final answer
    x = 12,466.32

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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.