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Finding the Fourth Proportional to 15,838.92, 23,746.65 and 9,597.44

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Solution

The fourth proportional to 15,838.92, 23,746.65 and 9,597.44 is: 14,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.92 : 23,746.65 = 9,597.44 : x
  2. Step 2: Convert to fraction form
    15,838.92/23,746.65 = 9,597.44/x
  3. Step 3: Cross multiply
    15,838.92x = 23,746.65 × 9,597.44
  4. Step 4: Simplify right side
    15,838.92x = 227,906,929.84
  5. Step 5: Solve for x
    x = 227,906,929.84/15,838.92
  6. Step 6: Final answer
    x = 14,389.04

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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.