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Finding the Fourth Proportional to 15,196.84, 20,946.54 and 10,159.22

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Solution

The fourth proportional to 15,196.84, 20,946.54 and 10,159.22 is: 14,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.84 : 20,946.54 = 10,159.22 : x
  2. Step 2: Convert to fraction form
    15,196.84/20,946.54 = 10,159.22/x
  3. Step 3: Cross multiply
    15,196.84x = 20,946.54 × 10,159.22
  4. Step 4: Simplify right side
    15,196.84x = 212,800,522.37
  5. Step 5: Solve for x
    x = 212,800,522.37/15,196.84
  6. Step 6: Final answer
    x = 14,002.94

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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.