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Finding the Fourth Proportional to 14,696.19, 20,285.75 and 9,031.16

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Solution

The fourth proportional to 14,696.19, 20,285.75 and 9,031.16 is: 12,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.19 : 20,285.75 = 9,031.16 : x
  2. Step 2: Convert to fraction form
    14,696.19/20,285.75 = 9,031.16/x
  3. Step 3: Cross multiply
    14,696.19x = 20,285.75 × 9,031.16
  4. Step 4: Simplify right side
    14,696.19x = 183,203,853.97
  5. Step 5: Solve for x
    x = 183,203,853.97/14,696.19
  6. Step 6: Final answer
    x = 12,466.08

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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.